I have a system of three non-linear coupled ODEs. I am trying to obtain the zeroth order, first order and second order equations and their boundary conditions using the perturbation technique. I then need to solve them. I wrote the following MAPLE lines for the purpose.
restart; N := 2
Eq := diff(f(eta), `$`(eta, 3))+(m+4)*f(eta)*(diff(f(eta), `$`(eta, 2)))-(2*(m+1))*(diff(f(eta), eta))^2-(2*(m+1))*h(eta)-(.5*(m-2))*eta*(diff(h(eta), eta))
Eq := g(eta)-(diff(h(eta), eta))