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Difficulty checking the solution of differential equation

  1. Apr 6, 2015 #1
    1. The problem statement, all variables and given/known data
    The differential equation is xy'-2y= x3ex
    Check the solution y=x2 ex

    2. Relevant equations
    Just plug in

    3. The attempt at a solution
    y' = x2ex + 2xex
    Having problem solving for x.
  2. jcsd
  3. Apr 6, 2015 #2
    Why are you trying to solve for x? Just substitute your solution for y into the differential equation.

  4. Apr 6, 2015 #3


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    Staff Emeritus
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    Why solve for x ?

    Like you said, "Just plug in".
  5. Apr 6, 2015 #4
    omg, got it. thanks a lot
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