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Solve the following ordinary differential equation subject to initial condition y(0)=1. Use the Runge Kutta 4th order method, and hence find the value of y when t=0.5.

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mat lab on 4 Dec 2017

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Answered: Nicolas Schmit on 4 Dec 2017

plot y vs t for 0<t<1.

dy/dt = t+y+ty

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Nicolas Schmit on 4 Dec 2017

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https://nl.mathworks.com/matlabcentral/answers/370812-solve-the-following-ordinary-differential-equation-subject-to-initial-condition-y-0-1-use-the-rung#answer_294468

https://www.mathworks.com/help/matlab/ref/ode45.html

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MATLAB Mathematics Numerical Integration and Differential Equations Boundary Value Problems Runge Kutta Methods

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