Let $y+xy'=x$, $y(0)=-1$.
Find $\;\lim_{x \to \infty}y(x).$
I have tried to separate $x$ and $y$. $\frac{y}{1-y'}=x.$ I don't know how to integrate the left hand side of the function.
Could any one give a fast solution to the problem?
Thank you!
The initial condition might be wrong. Could anyone give a general solution to the problem or you can set a reasonable initial value.