ODE No. 267

$$y(x){\sin }^2(x)y^{\prime }(x)+y(x{)}^2\sin (x)\cos (x)-1=0$$ ✓ Mathematica : cpu = 0.275093 (sec), leaf count = 36

DSolve[-1 + Cos[x]*Sin[x]*y[x]^2 + Sin[x]^2*y[x]*Derivative[1][y][x] == 0,y[x],x]
 

$$\{\{y(x)\to -\sqrt{2x+c_1}\csc (x)\},\{y(x)\to \sqrt{2x+c_1}\csc (x)\}\}$$ ✓ Maple : cpu = 0.039 (sec), leaf count = 32

dsolve(y(x)*diff(y(x),x)*sin(x)^2+y(x)^2*cos(x)*sin(x)-1 = 0,y(x))
 

$$y\left(x\right)=\frac{\sqrt{2x+c_1}}{\sin \left(x\right)}$$