2.1635   ODE No. 1635

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

$$a{y}^{\prime }(x{)}^2+by(x)+y^{″}(x)=0$$ ✗ Mathematica : cpu = 101.492 (sec), leaf count = 0 , could not solve

DSolve[b*y[x] + a*Derivative[1][y][x]^2 + Derivative[2][y][x] == 0, y[x], x]

✓ Maple : cpu = 0.177 (sec), leaf count = 79

$$\{{\int }^{y\left(x\right)}-2\frac{a}{\sqrt{4{\mathrm{e}}^{-2a\mathit{\_}\mathit{a}}\mathit{\_}\mathit{C}\mathit{1}{a}^2-4\mathit{\_}\mathit{a}ab+2b}}d\mathit{\_}\mathit{a}-x-\mathit{\_}\mathit{C}\mathit{2}=0,{\int }^{y\left(x\right)}2\frac{a}{\sqrt{4{\mathrm{e}}^{-2a\mathit{\_}\mathit{a}}\mathit{\_}\mathit{C}\mathit{1}{a}^2-4\mathit{\_}\mathit{a}ab+2b}}d\mathit{\_}\mathit{a}-x-\mathit{\_}\mathit{C}\mathit{2}=0\}$$