4.3   ODE No. 1003

$$\boxed{{\displaystyle \frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)+y\left(x\right)-\sin \left(nx\right)=0}}$$

1. Problem in Latex
2. Mathematica input
3. Maple input

Mathematica: cpu = 0.115515 (sec), leaf count = 45 $$\left\{\{y(x)\to c_2\sin (x)+c_1\cos (x)+\frac{{\cos }^2(x)(-\sin (nx))-{\sin }^2(x)\sin (nx)}{n^2-1}\}\right\}$$

Maple: cpu = 0.032 (sec), leaf count = 26 $$\{y\left(x\right)=\sin \left(x\right)\mathit{\_}\mathit{C}\mathit{2}+\cos \left(x\right)\mathit{\_}\mathit{C}\mathit{1}-\frac{\sin \left(nx\right)}{n^2-1}\}$$