1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    Dick

    User Avatar
    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.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Solving the Differential Equation
Loading...