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Simple differential equation

  • Thread starter PhysicsLad
  • Start date
  • #1
21
2

Homework Statement


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Solve the differential equation

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Homework Equations




The Attempt at a Solution


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?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.
 

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  • #2
vela
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Try the substitution ##u=\sqrt{1+y}## and see where that gets you.
 
  • #3
21
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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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