ODE No. 356

\[ y'(x) \left (x^2 \cos (y(x))+2 y(x) \sin (x)\right )+2 x \sin (y(x))+y(x)^2 \cos (x)=0 \] Mathematica : cpu = 0.247359 (sec), leaf count = 21

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

\[\text {Solve}\left [x^2 \sin (y(x))+y(x)^2 \sin (x)=c_1,y(x)\right ]\] Maple : cpu = 0.127 (sec), leaf count = 19

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

\[y \left (x \right )^{2} \sin \left (x \right )+\sin \left (y \left (x \right )\right ) x^{2}+c_{1} = 0\]