General solution

• Feb 7th 2009, 10:12 PM
mr_motivator
General solution

Find the
general solution to the equation:

x+2y(x^2+1) dy/dx = 0.

Could anyone explain? Thanks.

• Feb 8th 2009, 08:06 AM
HallsofIvy
That's a separable differential equation. Write it as (in other words, separate it!) $2ydy= -x\sqrt{x^2+ 1}dx$ and integrate both sides. To do the x integration, let $u= x^2+ 1$.