Solving a third order and second order differential equation

I am first trying to solve the third order ODE 2*d^3f/dn^3+f*d^2f/dn^2=0, where f=S/(u*sqrt(a*x/u)), n=y*sqrt(u/(a*x)), u=dS/dy, n=y*sqrt(u/(a*x). u is a constant. The BCs are df/dn (at n=0)=f(0)=0 and df/dn (n-->inf)=1.

The second order ODE I am trying to solve is d^2T/dn^2+Pr/2*f*dT/dn=0, where f=S/(u*sqrt(a*x/u)), n=y*sqrt(u/(a*x)), u=dS/dy, n=y*sqrt(u/(a*x), Pr=e/k. The BCs are T(0)=0 and T(inf)=1.

Any help would be greatly appreciated!

Answer 1

[Vaibhav Awale]

Hi Andrew,

To solve the differential equations that you have mentioned ode45 can be a useful function. You can refer to the examples mentioned in there to understand how to solve differential equations in MATLAB.

Hope this helps

Regards,

Vaibhav