Solving a non linear ODE with Matlab ode functions
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Otoniel Diaz
on 6 Jun 2013
Commented: RahulTandon
on 6 Jul 2015
I need to solve a non linear ODE. I want to use one of the ODE matlab functions if possible. However the problem is that it is not possible for me to convert it to a first order differential equation. The differential equation that I want to solve contains terms of this type: (y")^2*x^2+2*y*y"+(y')^2. As you can see the higher exponential is in the higher order term of the equation. Any way to solve this type of equations?
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RahulTandon
on 6 Jul 2015
Use solve() the solve the equations algeabraically. Get the solutions to teh quadratic equations and then solve using ODExx for nth order diff equations!! Send copy of teh actual problem. if you can.
Accepted Answer
Roger Stafford
on 6 Jun 2013
Try using 'ode15i' which can use implicit differential equations. In your example you would presumably have the two components in your function handle:
(y'(2))^2*t^2+2*y(1)*y'(2)+(y(2))^2 = 0
y'(1)-y(2) = 0
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Iván
on 6 Jun 2013
you can define a system of equations like:
y'(2)= y(1);
y'(3)= y(2);
so that
y'(3)=y''(1);
in this way you can go from your equation to a ordinary diferential equation system and use any of the matlab ode solvers.
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