about two point Boundary Value problem

Numerical integration of the initial value problem
y''+ y'y = 0
y(0) = 0
yielded y(1) = 0.741028.
What is the value of y(0) = (0) that would result in y(1) = 1, assuming that y(0) is unchanged?

Answers (1)

Use the symbolic toolbox and dsolve()
The answer comes out as
(exp(x*sqrt(5))-1)*exp(-(1/2*(x-1))*(sqrt(5)+1))/(exp(sqrt(5))-1)
if you simplify it the right way.

Asked:

on 7 Jun 2015

Answered:

on 8 Jun 2015

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!