2.1760   ODE No. 1760

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

$$ay(x)y^{\prime }(x)+f(x)+xy(x)y^{″}(x)+x{y}^{\prime }(x{)}^2=0$$ ✗ Mathematica : cpu = 300.042 (sec), leaf count = 0 , timed out

$Aborted

✓ Maple : cpu = 0.065 (sec), leaf count = 114

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