5.81   ODE No. 1529

$$\boxed{{\displaystyle (\sin \left(x\right)+x)\frac{{\mathrm{d}}^3}{\mathrm{d}{x}^3}y\left(x\right)+3(\cos \left(x\right)+1)\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)-3\sin \left(x\right)\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)-y\left(x\right)\cos \left(x\right)+\sin \left(x\right)=0}}$$

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

Mathematica: cpu = 0.077010 (sec), leaf count = 42 $$\text{DSolve}[y^{(3)}(x)(x+\sin (x))+3(\cos (x)+1)y^{″}(x)-3\sin (x)y^{\prime }(x)-y(x)\cos (x)+\sin (x)=0,y(x),x]$$

Maple: cpu = 0.047 (sec), leaf count = 43 $$\{y\left(x\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}{x}^2}{\sin \left(x\right)+x}+\frac{\mathit{\_}\mathit{C}\mathit{2}x}{\sin \left(x\right)+x}-\frac{\cos \left(x\right)}{\sin \left(x\right)+x}+\frac{\mathit{\_}\mathit{C}\mathit{3}}{\sin \left(x\right)+x}\}$$