Solve: dy = [2+(y-2x+3)^0.5]dx

Question

The answer in the book is 4(y - 2x + 3) = x^2 + C, but I don't know how to solve.
I've tried solving, but this ODE is not exact, nor homogeneous and I don't think the method of integrating factors apply either.
Please help. Thanks in advance.

Answer 1

This problem is discussed at

http://answers.yahoo.com/question/index?qid=20131002153201AArvcy4

Turns out to be quite simple. As in many such problems, the trick is to simplify the radicand.

Answer 2

Thank you so much!