2.911   ODE No. 911

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

$$y^{\prime }(x)=-y(x)(-\mathrm{\_}\text{F1}(x)-\frac{\log (y(x))}{x}+\cot (x)\log (y(x)))$$ ✓ Mathematica : cpu = 0.71596 (sec), leaf count = 106

$$\text{Solve}[{\int }_1^x(\frac{2\log (y(x))\sin (K[1])}{K[1{]}^2}-\frac{2(\cos (K[1])\log (y(x))-\sin (K[1])\mathrm{\_}\text{F1}(K[1]))}{K[1]})dK[1]+{\int }_1^{y(x)}(-\frac{2\sin (x)}{xK[2]}-{\int }_1^x(\frac{2\sin (K[1])}{K[1{]}^{2}K[2]}-\frac{2\cos (K[1])}{K[1]K[2]})dK[1])dK[2]=c_1,y(x)]$$ ✓ Maple : cpu = 1.2 (sec), leaf count = 30

$$\{y\left(x\right)={\mathrm{e}}^{\frac{\mathit{\_}\mathit{C}\mathit{1}x}{\sin \left(x\right)}}{\mathrm{e}}^{\frac{x}{\sin \left(x\right)}\int \frac{\mathit{\_}\mathit{F}\mathit{1}\left(x\right)\sin \left(x\right)}{x}\mathrm{d}x}\}$$