Non-Linear Coupled First-Order ODEs (with multiple derivative terms in each equation).

I have looked extensively, and was not able to solve a system like this on Matlba. All this while, I have used Mathematica to solve this system of ODEs.

+ = 0

+ G + = 0

G - - = 0

, and ξ are known functions. G is a constant. I am aiming to solve for .

The inlet B.C.s can be m1,m2 and m3 (any numeric value). I want to solve this with ODE45 or a similar built in solver.

Answer 1

[Alan Stevens]

These ode's can be rearranged as follows:

As long as you know initial values for a, b and c, then given that you know everything else on the right-hand side of these equations, you can use ode45 to solve them.

[Sattik Basu]

This is awesome. Never thought of the algebra to represent the equations this way. Thanks a lot.