Problem 51274. Solve a nonlinear difference equation

Created by ChrisR

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Consider the difference equation </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"a_{n+1} = a_n^p\"/></w:customXmlPr><w:r><w:t>a_{n+1} = a_n^p</w:t></w:r></w:customXml><w:r><w:t> with the initial (</w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"n = 0\"/></w:customXmlPr><w:r><w:t>n = 0</w:t></w:r></w:customXml><w:r><w:t>) value </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"a0\"/></w:customXmlPr><w:r><w:t>a_0</w:t></w:r></w:customXml><w:r><w:t>. If </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"a0\"/></w:customXmlPr><w:r><w:t>a_0</w:t></w:r></w:customXml><w:r><w:t> is 2 and </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"p = 2\"/></w:customXmlPr><w:r><w:t>p = 2</w:t></w:r></w:customXml><w:r><w:t>, then </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"a1 = 4\"/></w:customXmlPr><w:r><w:t>a_1 = 4</w:t></w:r></w:customXml><w:r><w:t>, </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"a2 = 16\"/></w:customXmlPr><w:r><w:t>a_2 = 16</w:t></w:r></w:customXml><w:r><w:t>, </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"a3 = 256\"/></w:customXmlPr><w:r><w:t>a_3= 256</w:t></w:r></w:customXml><w:r><w:t>, etc. </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Write a function that takes two values of </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"n\"/></w:customXmlPr><w:r><w:t>n</w:t></w:r></w:customXml><w:r><w:t> and the corresponding values of </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"a_n\"/></w:customXmlPr><w:r><w:t>a_n</w:t></w:r></w:customXml><w:r><w:rPr><w:i/></w:rPr><w:t> </w:t></w:r><w:r><w:t>and returns the initial value </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"a0\"/></w:customXmlPr><w:r><w:t>a_0</w:t></w:r></w:customXml><w:r><w:t> and the exponent </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"p\"/></w:customXmlPr><w:r><w:t>p</w:t></w:r></w:customXml><w:r><w:t>. </w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 95.75px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 47.875px; transform-origin: 407px 47.875px; vertical-align: baseline; "><div style="block-size: 44.5px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 22.25px; text-align: left; transform-origin: 384px 22.25px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 102.967px 7.91667px; transform-origin: 102.967px 7.91667px; unicode-bidi: normal; ">Consider the difference equation <img src="data:image/png;base64,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" alt="a_{n+1} = a_n^p" style="width: 60.5px; height: 22px;" width="60.5" height="22"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 48.2333px 7.91667px; transform-origin: 48.2333px 7.91667px; unicode-bidi: normal; "> with the initial (<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEkAAAAkCAYAAADFGRdYAAABwElEQVRoge2YUbGDMBBFjwccYKAGUFAFOMABDmrhaaiEeqgFNGCB95HsZMsLIeG1hU73zGT6kbAkl5vdpGAYhmEYxudTAWeg9+2873SORw+MwA/Q4AS6+2Zi4YSZ/K+mwgk38eVCnXEiTDhR5rS+b1jo/woGnAi3hf6KIOLlXZM6EtpFfWLcneCmr0Ny0VrO0eNOJS84+cA6eIXbw59SPm/kLb5X47q1oN0s8IQTBZwo46yvRKiacD75T2sK3qnnmivSvAIuInt0JLhnIJwvtiS6ZjbprW31Syv0c3ViXKfGXXODS0W44hany6NebMlXfZaTSnKGzHNcGafXlCVSzeNXEwcJYk1x2ZHRIqWc1FIokn5g4K+9ryXBdkbn0KfmJBFh6QC2JTfsxUuqGwT1x0hgvXdT9o2xR3W7kJc/c8cBjyLEbCfBtpxM96huuhKnnhPHZeVZrWjMnnI0kNJf4qY9qhu84O6WusPoqtf44DfKJ/1uxE1LFa6lwEVa0dhlUB+4apygbWTcEUn9nyROy7o96NIfS166/1Oqm0ZSyfyfyZGC61VD2PdLdL6/tLIdhZpwQS+tlIZhGIZhGIZRxi8Ks/qCh9x2gAAAAABJRU5ErkJggg==" alt="n = 0" style="width: 36.5px; height: 18px;" width="36.5" height="18"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 22.95px 7.91667px; transform-origin: 22.95px 7.91667px; unicode-bidi: normal; ">) value <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAABOUlEQVRYhe2VXbGDMBBGj4c4wEANREEV1AEO4qAW0ICEeLgWqgEL3Idkh21uEmiB2+lMzkweYMl+2T8CjUaj0Wh8iAvQAw6w8Z2Nz5czRT3wiOIWGIAfYI6rO0P4Fp0/AJPYZmX7V2Etfj9a+Kqc24y9W7G/jQGm6HgsfCNZmfibFUPoCVmeFxrSsURV2uSj3RcOPqpD9Su+npCoU8eCVYdziW0gX4qJMB1Vao4FTz4zRr1PSyF7qv2hU37N2HuWzKT1loPnIhS/1cmoid8IYzfyXJYh7pO9NfFSKYGQxll9aOJyLPMukUs3y0RsEV+tu0Sml+7eKXm/RWCzOISUO0KN0/926TKRkdot/g67G24vUo4UGbXcBB1G7SdTuqAOQ6ZBj5T0wqlRCx3LhXInTMShN1+j0fgefgFsKIIPBf1eagAAAABJRU5ErkJggg==" alt="a0" style="width: 15.5px; height: 20px;" width="15.5" height="20"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 9.70833px 7.91667px; transform-origin: 9.70833px 7.91667px; unicode-bidi: normal; ">. If <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAABOUlEQVRYhe2VXbGDMBBGj4c4wEANREEV1AEO4qAW0ICEeLgWqgEL3Idkh21uEmiB2+lMzkweYMl+2T8CjUaj0Wh8iAvQAw6w8Z2Nz5czRT3wiOIWGIAfYI6rO0P4Fp0/AJPYZmX7V2Etfj9a+Kqc24y9W7G/jQGm6HgsfCNZmfibFUPoCVmeFxrSsURV2uSj3RcOPqpD9Su+npCoU8eCVYdziW0gX4qJMB1Vao4FTz4zRr1PSyF7qv2hU37N2HuWzKT1loPnIhS/1cmoid8IYzfyXJYh7pO9NfFSKYGQxll9aOJyLPMukUs3y0RsEV+tu0Sml+7eKXm/RWCzOISUO0KN0/926TKRkdot/g67G24vUo4UGbXcBB1G7SdTuqAOQ6ZBj5T0wqlRCx3LhXInTMShN1+j0fgefgFsKIIPBf1eagAAAABJRU5ErkJggg==" alt="a0" style="width: 15.5px; height: 20px;" width="15.5" height="20"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 28.3917px 7.91667px; transform-origin: 28.3917px 7.91667px; unicode-bidi: normal; "> is 2 and <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEwAAAAkCAYAAAAjMNwcAAAB10lEQVRoge2Z67GCMBBGTw90YAM2QAVUQAd2QAe0QA2UQA+2YA20oD82e4ne8AgwEnXPzM44E4nJx74SwTAMwzAMI8QZuACVs/zY5aTLCeiAe8CuiJCGIwN6BnE64MazaDdMtD9aRLBXQXJEQBWtffO6kuSEiDHmPTp+R0TN3rSuZKmAeuY7LYNoPx+WJeJFU1RsECxDYrtwEzXOcD9cI0mzc+Pf4MIqWL/mYRXMd9PaTXpznxueS3KMaNUOVq7Z2AS617nQnSRnEKXjfwXxe5oiYt5QHxRre1czbTnmQncSP65DC/THY97MHh4W84LmKJE9VFsn0v6kJ6z8WsFSIkPSTMfGXJwx7/4160IyJRpEsM2Fq2AQYyzB+h3yptg/iJLx6IlGq+BY5+t3x7EJOIUquatYMBxMl4RjbKN3dJXcXSzfey4j41qG11SWI6tkzrxYJyI9WMvsmPdo7vq0k/0ZEWtK7AzZX9QL8Tv81/ylua15fShxVKye4VgXsh5JR1FouPntQoEof+XzrnRVrKX5MSrNnL0HayQ8tSp9YusAwx6WWlRPtuma4xfRA/Wqa45fY8lxyPDwj0Oh/stwZIhY/t9OLVINv+E2dXf0hjVkJphhGKnxAKZM8gzRL/cbAAAAAElFTkSuQmCC" alt="p = 2" style="width: 38px; height: 18px;" width="38" height="18"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 19.4417px 7.91667px; transform-origin: 19.4417px 7.91667px; unicode-bidi: normal; ">, then <img src="data:image/png;base64,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" alt="a1 = 4" style="width: 41.5px; height: 20px;" width="41.5" height="20"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 7.91667px; transform-origin: 3.88333px 7.91667px; unicode-bidi: normal; ">, <img src="data:image/png;base64,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" alt="a2 = 16" style="width: 49px; height: 20px;" width="49" height="20"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 7.91667px; transform-origin: 3.88333px 7.91667px; unicode-bidi: normal; ">, <img src="data:image/png;base64,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" alt="a3 = 256" style="width: 56.5px; height: 20px;" width="56.5" height="20"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 17.1px 7.91667px; transform-origin: 17.1px 7.91667px; unicode-bidi: normal; ">, etc. </div><div style="block-size: 42.25px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 21.125px; text-align: left; transform-origin: 384px 21.125px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 125.492px 7.91667px; transform-origin: 125.492px 7.91667px; unicode-bidi: normal; ">Write a function that takes two values of n<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 103.475px 7.91667px; transform-origin: 103.475px 7.91667px; unicode-bidi: normal; "> and the corresponding values of <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAABNklEQVRYhe2VUbWDMAyGPw84wAAGqgAFOKgDHMwCGpBQD1hAAxbYA8lpxsrY4ZTdh9vvnD4sWfPTpEmhUCgUCoU/ogE80ANObE5+N3eKBmAWcQcMwASssuo7hDsJPgPVzrca30+Frfgjt3BrgruEvz7xX6YCFgk8HvxHs7KQzspleuKpjm5xEH/IKQzx1EeBnfm4PqfwN4ED55m5hE15m/B7YmZurfdevGNru5HXsgzELPXin9hasBL/KraPNEY8yOZKgmq/68kHWfuO0LK04nfEaXg6CfVkdo3EFC87+55FPjQQZ8As66sx3LKd1ic2fHpMbOa82HQgHc2MbOidmYiZ0oHkjzblQuvdGZteuNueXSX1EM3GlmrfLOiAsrXVOzCwtd5t4g/e50PNdvsXXktRKBT+CU+MO3Oqf1KjkgAAAABJRU5ErkJggg==" alt="a_n" style="width: 15.5px; height: 20px;" width="15.5" height="20"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.94167px 7.91667px; transform-origin: 1.94167px 7.91667px; unicode-bidi: normal; "> <span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 85.5833px 7.91667px; transform-origin: 85.5833px 7.91667px; unicode-bidi: normal; ">and returns the initial value <img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAoCAYAAAAG0SEsAAABOUlEQVRYhe2VXbGDMBBGj4c4wEANREEV1AEO4qAW0ICEeLgWqgEL3Idkh21uEmiB2+lMzkweYMl+2T8CjUaj0Wh8iAvQAw6w8Z2Nz5czRT3wiOIWGIAfYI6rO0P4Fp0/AJPYZmX7V2Etfj9a+Kqc24y9W7G/jQGm6HgsfCNZmfibFUPoCVmeFxrSsURV2uSj3RcOPqpD9Su+npCoU8eCVYdziW0gX4qJMB1Vao4FTz4zRr1PSyF7qv2hU37N2HuWzKT1loPnIhS/1cmoid8IYzfyXJYh7pO9NfFSKYGQxll9aOJyLPMukUs3y0RsEV+tu0Sml+7eKXm/RWCzOISUO0KN0/926TKRkdot/g67G24vUo4UGbXcBB1G7SdTuqAOQ6ZBj5T0wqlRCx3LhXInTMShN1+j0fgefgFsKIIPBf1eagAAAABJRU5ErkJggg==" alt="a0" style="width: 15.5px; height: 20px;" width="15.5" height="20"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 27.225px 7.91667px; transform-origin: 27.225px 7.91667px; unicode-bidi: normal; "> and the exponent p<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 7.91667px; transform-origin: 3.88333px 7.91667px; unicode-bidi: normal; ">. </div></div></div>

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Rafael S.T. Vieira on 8 Nov 2022

Good one.

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Problem 51274. Solve a nonlinear difference equation

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Problem 51274. Solve a nonlinear difference equation

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