2.535   ODE No. 535

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

$$8x{y}^{\prime }(x{)}^3-12y(x)y^{\prime }(x{)}^2+9y(x)=0$$ ✓ Mathematica : cpu = 0.0356053 (sec), leaf count = 49

$$\{\{y(x)\to -\frac{(x+3c_1){}^{3/2}}{3\sqrt{c_1}}\},\{y(x)\to \frac{(x+3c_1){}^{3/2}}{3\sqrt{c_1}}\}\}$$ ✓ Maple : cpu = 0.127 (sec), leaf count = 51

$$\{y\left(x\right)=0,y\left(x\right)=-\frac{3x}{2},y\left(x\right)=\frac{3x}{2},y\left(x\right)=-\frac{1}{3{\mathit{\_}\mathit{C}\mathit{1}}^2}{\left(\mathit{\_}\mathit{C}\mathit{1}(3\mathit{\_}\mathit{C}\mathit{1}+x)\right)}^{\frac{3}{2}},y\left(x\right)=\frac{1}{3{\mathit{\_}\mathit{C}\mathit{1}}^2}{\left(\mathit{\_}\mathit{C}\mathit{1}(3\mathit{\_}\mathit{C}\mathit{1}+x)\right)}^{\frac{3}{2}}\}$$