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!

Solve the following differential equation

  1. Feb 15, 2016 #1
    1. The problem statement, all variables and given/known data

    Solve the differential equation. -x2(dy/dx) + xy = x2y2 * sin(x)
    2. Relevant equations

    3. The attempt at a solution
    I first figured out that this was a Bernoulli's equation. I distributed the x2 to make it simpler. From there I divided everything by y2 to get y-2(dy/dx) + (x3/y) = x4sin(x)

    From there I let w = 1/y dw=-1/y2 dy and then multiplied through by -1 so dw would fit in.

    Now I have dw/dx - wx3 = -x4sin(x)

    Then I let P(x) = x3 Mu(x) = eintegral(x^3)

    This gave me Mu(x) = e1/4*x^4

    My problem is that when you multiply that back into the equation and get to the point where you integrate, there is 3 terms on the right side (a triple integral is what you call it?). I am unsure of how to approach it, I must have done something wrong. The sin(x) is what is different from any Bernoulli's I have done. Thanks
  2. jcsd
  3. Feb 15, 2016 #2
    Oh wow never mind it was -x^2 not x^-2
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted