2.850   ODE No. 850

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

$$y^{\prime }(x)=\mathrm{\_}\text{F1}(y(x)-\log (\sin (x))+\log (\cos (x)+1))+\csc (x)$$ ✓ Mathematica : cpu = 0.236226 (sec), leaf count = 114

$$\text{Solve}[c_1={\int }_1^{y(x)}(\frac{1}{\mathrm{\_}\text{F1}(K[2]-\log (\sin (x))+\log (\cos (x)+1))}-{\int }_1^x\frac{\csc (K[1]){\mathrm{\_}\text{F1}}^{\prime }(K[2]-\log (\sin (K[1]))+\log (\cos (K[1])+1))}{(\mathrm{\_}\text{F1}(K[2]-\log (\sin (K[1]))+\log (\cos (K[1])+1))){}^2}dK[1])dK[2]+{\int }_1^x(-\frac{\csc (K[1])}{\mathrm{\_}\text{F1}(-\log (\sin (K[1]))+\log (\cos (K[1])+1)+y(x))}-1)dK[1],y(x)]$$

✓ Maple : cpu = 1.313 (sec), leaf count = 32

$$\{{\int }_{\mathit{\_}\mathit{b}}^{y\left(x\right)}{\left(\mathit{\_}\mathit{F}\mathit{1}(\mathit{\_}\mathit{a}-\ln (\sin \left(x\right))+\ln (\cos \left(x\right)+1))\right)}^{-1}\mathrm{d}\mathit{\_}\mathit{a}-x-\mathit{\_}\mathit{C}\mathit{1}=0\}$$