2.1640   ODE No. 1640

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

$$ay(x)y^{\prime }(x{)}^2+by(x)+y^{″}(x)=0$$ ✗ Mathematica : cpu = 200.203 (sec), leaf count = 0 , could not solve

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

✓ Maple : cpu = 0.188 (sec), leaf count = 70

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