5.22   ODE No. 1470

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

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

Mathematica: cpu = 75.667609 (sec), leaf count = 63 $$\left\{\{y(x)\to e^{-\cos (x)}{\int }_1^x\frac{1}{4}{e}^{\cos (K[1])}(4c_{1}K[1]-3K[1{]}^2+2K[1{]}^2\log (K[1])+4c_2)dK[1]+c_3{e}^{-\cos (x)}\}\right\}$$

Maple: cpu = 0.062 (sec), leaf count = 36 $$\{y\left(x\right)=(\mathit{\_}\mathit{C}\mathit{3}+\int (2x\mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{C}\mathit{2}+\frac{x^2\ln \left(x\right)}{2}-\frac{3x^2}{4}){\mathrm{e}}^{\cos \left(x\right)}\mathrm{d}x){\mathrm{e}}^{-\cos \left(x\right)}\}$$