3 Differential Equations problems

[mercuryman]

Hey
Can I have your help with:

1. (2e^y - X)y'=1
y(0)=0
y(x)=?

2. xyy' + y^2 - x^2 = 0

3. x^2y' - 1 = cos2y
lim y(x) = π/2
x->+∞

thanks

 

[HallsofIvy]

Did you not read the information about the forum that you were supposed to read when you registered? We will not just give you answers not tell you how to do the problems. We will give you hints based on where you have run into trouble after we have seen how you have tried the problem yourself.