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Homework Help: Diifferential eq to solve

  1. Aug 2, 2010 #1
    1. The problem statement, all variables and given/known data

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

    3. 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
  2. jcsd
  3. Aug 2, 2010 #2


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    Science Advisor
    Homework Helper

    Try the change of variables u=xy.
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