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Inhomogenous differential equation of second order

  1. Feb 14, 2014 #1
    1. The problem statement, all variables and given/known data

    [tex]y^{\prime\prime}+y=\frac{1}{\sin x}[/tex]


    2. Relevant equations



    3. The attempt at a solution

    I solved the homogenous equation: [tex]y=C_1\sin x+C_2\cos x[/tex], and then I tried to use method of variable the constant. But the equation system is rather hard. Do you know any other method that can be used here?
     
  2. jcsd
  3. Feb 14, 2014 #2

    ehild

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    Homework Helper
    Gold Member

    The method of variation of constants works well. Show what you have done.

    ehild
     
  4. Feb 14, 2014 #3
    Yeah, it does. Thanks for your answer. I started to calculate it and I got it. For future visitors: you must multiplicate first equation by [tex]\cos x[/tex] and second by [tex]\sin x[/tex] and try to reduce it.
     
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