2.436   ODE No. 436

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

$$-x^4+x^2{y}^{\prime }(x{)}^2+(1-x^2)y(x{)}^2-2xy(x)y^{\prime }(x)=0$$ ✓ Mathematica : cpu = 0.0345506 (sec), leaf count = 26

$$\{\{y(x)\to -x\sinh (x-c_1)\},\{y(x)\to x\sinh (c_1+x)\}\}$$

✓ Maple : cpu = 1.761 (sec), leaf count = 59

$$\{y\left(x\right)=-ix,y\left(x\right)=ix,y\left(x\right)=-\frac{\mathit{\_}\mathit{C}\mathit{1}x}{2{\mathrm{e}}^x}(\frac{{\left({\mathrm{e}}^x\right)}^2}{{\mathit{\_}\mathit{C}\mathit{1}}^2}-1),y\left(x\right)=\frac{x({\left({\mathrm{e}}^x\right)}^2{\mathit{\_}\mathit{C}\mathit{1}}^2-1)}{2{\mathrm{e}}^x\mathit{\_}\mathit{C}\mathit{1}}\}$$