3.848   ODE No. 848

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{\cosh \left(x\right)}{\sinh \left(x\right)}+\mathit{\_}\mathit{F}\mathit{1}(y\left(x\right)-\ln (\sinh \left(x\right)))=0}}$$

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

Mathematica: cpu = 0.109014 (sec), leaf count = 154 $$\text{Solve}[{\int }_1^{y(x)}-\frac{\mathrm{\_}\text{F1}(K[2]-\log (\sinh (x)))({\int }_1^x(\frac{{\mathrm{\_}\text{F1}}^{\prime }(K[2]-\log (\sinh (K[1])))(\mathrm{\_}\text{F1}(K[2]-\log (\sinh (K[1])))+\coth (K[1]))}{(\mathrm{\_}\text{F1}(K[2]-\log (\sinh (K[1])))){}^2}-\frac{{\mathrm{\_}\text{F1}}^{\prime }(K[2]-\log (\sinh (K[1])))}{\mathrm{\_}\text{F1}(K[2]-\log (\sinh (K[1])))})dK[1])-1}{\mathrm{\_}\text{F1}(K[2]-\log (\sinh (x)))}dK[2]+{\int }_1^x-\frac{\mathrm{\_}\text{F1}(y(x)-\log (\sinh (K[1])))+\coth (K[1])}{\mathrm{\_}\text{F1}(y(x)-\log (\sinh (K[1])))}dK[1]=c_1,y(x)]$$

Maple: cpu = 0.405 (sec), leaf count = 27 $$\{{\int }_{\mathit{\_}\mathit{b}}^{y\left(x\right)}{\left(\mathit{\_}\mathit{F}\mathit{1}(\mathit{\_}\mathit{a}-\ln (\sinh \left(x\right)))\right)}^{-1}\mathrm{d}\mathit{\_}\mathit{a}-x-\mathit{\_}\mathit{C}\mathit{1}=0\}$$