2.233   ODE No. 233

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

$$a{x}^3\cos (x)+xy(x)y^{\prime }(x)-y(x{)}^2=0$$ ✓ Mathematica : cpu = 0.0237035 (sec), leaf count = 38

$$\{\{y(x)\to -x\sqrt{c_1-2a\sin (x)}\},\{y(x)\to x\sqrt{c_1-2a\sin (x)}\}\}$$

✓ Maple : cpu = 0.025 (sec), leaf count = 30

$$\{y\left(x\right)=\sqrt{-2a\sin \left(x\right)+\mathit{\_}\mathit{C}\mathit{1}}x,y\left(x\right)=-\sqrt{-2a\sin \left(x\right)+\mathit{\_}\mathit{C}\mathit{1}}x\}$$