2.122   ODE No. 122

\[ \cos (y(x)) \left (\sin (y(x))-3 x^2 \cos (y(x))\right )+x y'(x)=0 \] Mathematica : cpu = 0.20853 (sec), leaf count = 21

DSolve[Cos[y[x]]*(-3*x^2*Cos[y[x]] + Sin[y[x]]) + x*Derivative[1][y][x] == 0,y[x],x]
 

\[\left \{\left \{y(x)\to \arctan \left (\frac {2 x^3+c_1}{2 x}\right )\right \}\right \}\] Maple : cpu = 0.327 (sec), leaf count = 16

dsolve(x*diff(y(x),x)+(sin(y(x))-3*x^2*cos(y(x)))*cos(y(x)) = 0,y(x))
 

\[y \left (x \right ) = \arctan \left (\frac {x^{3}+2 c_{1}}{x}\right )\]