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(1-x^2)dy/dx -xy = 1/ (1-x^2)

  1. Feb 17, 2016 #1
    1. The problem statement, all variables and given/known data
    rewrite the equation in the form of linear equation . Then solve it . (1-x^2)dy/dx -xy = 1/ (1-x^2)

    the ans given is y= [x/ (1-x^2) ]+ [ C / ( sqrt rt (1-x^2) ) ] , my ans is different , which part is wrong ?
    2. Relevant equations


    3. The attempt at a solution
     

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  3. Feb 17, 2016 #2
    It can often be useful to plug the given answer back in and verify it is a solution by differentiating and simplifying.
     
  4. Feb 17, 2016 #3

    RUber

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  5. Feb 18, 2016 #4
  6. Feb 18, 2016 #5

    blue_leaf77

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    Could you post your calculation with that integral?
     
  7. Feb 18, 2016 #6

    RUber

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    What do you get if you take that derivative?
    ##\frac{d}{dx} x^{-1}(1-x^2)^{-1/2} = -x^{-2}(1-x^2)^{-1/2}+x^{-1}(1-x^2)^{-3/2}\neq (1-x^2)^{-3/2}##
     
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