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Homework Help: Solving the Differential Equation

  1. Oct 7, 2012 #1
    I'm given the differential dy/dx = x*y*sinx / (y+1) and I need to find its solution.

    I apply the following steps,

    (y+1)/y*dy = x*sinx*dx

    1 + 1/y*dy = x*sinx*dx

    ∫ 1 + 1/y*dy = ∫ x*sinx*dx

    ...skipping a few steps for convenience I get the equation

    y + lny = -x*cosx + sinx

    My problem now is that I don't know how do I solve for y.
  2. jcsd
  3. Oct 7, 2012 #2


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    Science Advisor
    Homework Helper

    You can't solve nicely for y. That's often the case. But you've gotten rid of the derivatives, that should be enough. I do miss seeing an arbitrary constant (a '+C') somewhere in your solution.
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