GATE Civil Engineering (CE) 2020 Shift 2 Solved Paper

$\frac{{\mathit{d}}^2\mathit{x}}{\mathit{d}{\mathit{x}}^2}-2{\mathit{x}}^2\mathit{u}+\sin \mathit{x}=0$
The degree of all terms is different; hence it is non-homogeneous equation. The given ordinary differential equation is linear because the coefficient of $\mathit{y}$ and ${\mathit{y}}^{\prime },{\mathit{y}}^{\prime \prime }$ is the function of $\mathit{x}$.