Differential Equations

$\sin x-\log \left(1+x^2\right)=\log y+c$

$(\log y)^2+2 \cos x+\log \left(1+x^2\right)^2=c$

$\log y=2 \cos x+\log \left(1+x^2\right)+c$

$\frac{\log y}{y}=2 \sin x+\cos x \log \left(1+x^2\right)+c$