I am not sure how to do this problem. Can you help?
Solve (t^2 + 1)dy/dx = yt-y.
We are asked to find the value of in .
Like TPH said, this is a separable differential equation so
which gives us
and solving for , we arrive at
for any constant C.
We may verify that this is the general solution by differentiating and substituting it in the original differential equation.