2.1641   ODE No. 1641

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

$$g(x)y^{\prime }(x)+h(y(x))y^{\prime }(x{)}^2+y^{″}(x)=0$$ ✓ Mathematica : cpu = 0.049153 (sec), leaf count = 61

$$\left\{\{y(x)\to \text{InverseFunction}[{\int }_1^{\mathrm{\#}\text{1}}\exp (-{\int }_1^{K[4]}-h(K[1])dK[1])dK[4]\mathrm{\&}][{\int }_1^x-\exp (-{\int }_1^{K[5]}g(K[2])dK[2])c_{1}dK[5]+c_2]\}\right\}$$ ✓ Maple : cpu = 0.1 (sec), leaf count = 29

$$\{{\int }^{y\left(x\right)}{\mathrm{e}}^{\int h\left(\mathit{\_}\mathit{b}\right)\mathrm{d}\mathit{\_}\mathit{b}}d\mathit{\_}\mathit{b}-\mathit{\_}\mathit{C}\mathit{1}\int {\mathrm{e}}^{-\int g\left(x\right)\mathrm{d}x}\mathrm{d}x-\mathit{\_}\mathit{C}\mathit{2}=0\}$$