2.1817   ODE No. 1817

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

$$4y^{\prime }(x{)}^2+(x{y}^{\prime }(x)-y(x))y^{″}(x)=0$$ ✗ Mathematica : cpu = 15.3141 (sec), leaf count = 0 , could not solve

DSolve[4*Derivative[1][y][x]^2 + (-y[x] + x*Derivative[1][y][x])*Derivative[2][y][x] == 0, y[x], x]

✓ Maple : cpu = 0.554 (sec), leaf count = 40

$$\{y\left(x\right)={\mathrm{e}}^{{\int }^{\ln \left(x\right)}{\mathrm{e}}^{\mathit{R}\mathit{o}\mathit{o}\mathit{t}\mathit{O}\mathit{f}(\ln ({\mathrm{e}}^{\mathit{\_}\mathit{Z}}-1){\mathrm{e}}^{\mathit{\_}\mathit{Z}}+\mathit{\_}\mathit{C}\mathit{1}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-\mathit{\_}\mathit{Z}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}-\mathit{\_}\mathit{b}{\mathrm{e}}^{\mathit{\_}\mathit{Z}}+2)}-1d\mathit{\_}\mathit{b}+\mathit{\_}\mathit{C}\mathit{2}}\}$$