Question

y'=x-2y

Answer 1

that is under linear equations.

Answer 2

\[y'+2y=x\]
Integrating factor: \(\mu(x)=e^{\int 2~dx}=e^{2x}\).
\[e^{2x}y'+2e^{2x}y=xe^{2x}\\
\frac{d}{dx}\left[e^{2x}y\right]=xe^{2x}\\
e^{2x}y=\int xe^{2x}~dx\\
y=\cdots\]