MATLAB: How to solve the identity equation

first oderode

Hi, i need to solve this equation and convert the equation to put in MATLAB. However, i dont know how to solve this.

Let say,

A=(phi)'E

where E=(phi)'^(n-1)

So how do i solve to get

(phi)'= ??

Thank you in advance.

phi_prime times phi_prime^(n-1) is going to be phi_prime^n, so A = phi_prime^n so phi_prime = A^(1/n)

Hi,

You can leverage coeffs function to find coefficients of an equation.

Example-

syms A B C x y
E=A+A*x^2+B*x+C*x+C*x^2+A*y+A*y^2+B*y^2;
[N,M]=coeffs(E,[x y])

Solve your equations for W', U'' and V''.

Let

y(1) = W, y(2) = U, Y(3) = U', Y(4) = V, Y(5) = V'.

Your system then reads

Y(1)' = F0(Y(1),Y(2),Y(3),Y(4),Y(5))
Y(2)' = Y(3)
Y(3)' = F1(Y(1),Y(2),Y(3),Y(4),Y(5))
Y(4)' = Y(5)
Y(5)' = F2(Y(1),Y(2),Y(3),Y(4),Y(5))

Now use one of the ODE solvers in the usual manner.

Best wishes

Torsten.