Thanks!!
Hello, qbkr21!
Separate the variables . . . x's on one side, y's on the other.$\displaystyle (x^2+1)\frac{dy}{dx} \:=\:xy$
. . . $\displaystyle \frac{dy}{y} \:=\:\frac{x}{x^2+1}\,dx$
Then integrate: .$\displaystyle \int\frac{dy}{y} \;=\;\int\frac{x}{x^2+1}\,dx$
Can you finish it now?