2.375   ODE No. 375

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

$$a{y}^{\prime }(x)+bx+y^{\prime }(x{)}^2=0$$ ✓ Mathematica : cpu = 0.0301193 (sec), leaf count = 71

$$\{\{y(x)\to \frac{1}{2}(-\frac{{(a^2-4bx)}^{3/2}}{6b}-ax)+c_1\},\{y(x)\to \frac{1}{2}(\frac{{(a^2-4bx)}^{3/2}}{6b}-ax)+c_1\}\}$$ ✓ Maple : cpu = 0.023 (sec), leaf count = 49

$$\{y\left(x\right)=-\frac{ax}{2}-\frac{1}{12b}{(a^2-4bx)}^{\frac{3}{2}}+\mathit{\_}\mathit{C}\mathit{1},y\left(x\right)=-\frac{ax}{2}+\frac{1}{12b}{(a^2-4bx)}^{\frac{3}{2}}+\mathit{\_}\mathit{C}\mathit{1}\}$$