Given are two ordinary differential equations
$\mathrm{P}: \frac{d y}{d x}+x=x \sin y$
$\mathrm{Q}: \frac{d y}{d x}+x y=e^{x} y$
The correct choice is
- $\mathrm{P}$ is linear; $\mathrm{Q}$ is nonlinear
- $\mathrm{P}$ is nonlinear; $\mathrm{Q}$ is linear
- Both $\mathrm{P}$ and $\mathrm{Q}$ are linear
- Both $\mathrm{P}$ and $\mathrm{Q}$ are nonlinear
