3.267   ODE No. 267

$$\boxed{{\displaystyle y\left(x\right)\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right){(\sin \left(x\right))}^2+{\left(y\left(x\right)\right)}^2\cos \left(x\right)\sin \left(x\right)-1=0}}$$

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

Mathematica: cpu = 0.033004 (sec), leaf count = 36 $$\{\{y(x)\to -\sqrt{c_1+2x}\csc (x)\},\{y(x)\to \sqrt{c_1+2x}\csc (x)\}\}$$

Maple: cpu = 0.015 (sec), leaf count = 32 $$\{y\left(x\right)=\frac{1}{\sin \left(x\right)}\sqrt{2x+\mathit{\_}\mathit{C}\mathit{1}},y\left(x\right)=-\frac{1}{\sin \left(x\right)}\sqrt{2x+\mathit{\_}\mathit{C}\mathit{1}}\}$$