How Do You Solve This Complex Differential Equation?

[abrowaqas]

Homework Statement

Solve Differential equation.
x^4 y' + x^3 y + cosec(xy) =0
where ^ shows power and y' is derivative w.r.t x

Homework Equations

The Attempt at a Solution

i have tried almost all methods but its failing. neither it is linear nor bernoulli i think it follows the method of M dx + Ndy = 0 . for that i have taken LCM. then for Integrating factor i apply both conditions but it fails ... i-t My-Nx/N or Ny-Mx/M ... no any single variable function... so kindly help

 

[Dick]

Try the change of variables u=xy.