# Simple differential equation

1. Jun 24, 2016

### PhysicsLad

1. The problem statement, all variables and given/known data

Solve the differential equation

2. Relevant equations

3. The attempt at a solution

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. Jun 24, 2016

### vela

Staff Emeritus
Try the substitution $u=\sqrt{1+y}$ and see where that gets you.

3. Jun 24, 2016

### PhysicsLad

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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