Hi

I have an initial value problem to solve.

It is a third-order ODE that must be converted to first-order ODE's first.

Where:

I took variables as such:

This gives me the first order equations:

Have been told that can be presumed at 10

Also that I have to find a solution for which should lie in the range [0.1,0.4] such that

So the idea is to find a value for as this is and then use that to see whether or not.

So...

I used Euler's method and MATLAB to iterate up to (10) as follows,

Code:

x3(i+1)= x3(i) + x3(i)*h;

giving me the value .

I have no idea how I'm supposed to continue past this point. I get the idea of using the bisection method to home in on the correct initial condition so that as the first guess will of course be wrong, but getting to that I'm just stumped.

Any help gratefully appreciated,

Matt