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Simple differential equation

  1. Jun 24, 2016 #1
    1. The problem statement, all variables and given/known data

    Solve the differential equation

    ?temp_hash=2fc3c3f9fd547589fc4e4880c96ac0e5.png



    2. Relevant equations


    3. The attempt at a solution

    ?temp_hash=2fc3c3f9fd547589fc4e4880c96ac0e5.jpg


    I just can't integrate that (1+y)^(1/2)/(1+y^2)dy at the end... the other two integrals are trivial.
     

    Attached Files:

  2. jcsd
  3. Jun 24, 2016 #2

    vela

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    Try the substitution ##u=\sqrt{1+y}## and see where that gets you.
     
  4. Jun 24, 2016 #3
    I actually tried before posting. Once you make the substitution there are two ways to attempt the problem, one by doing u^2 = 1+y and then differentiating, and the other got me to 2*(1+y)^(1/2)du = dy. None of these seemed to make the integral any easier.
     
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