3.362   ODE No. 362

\[ \boxed { \left ( {x}^{2}y \left ( x \right ) \sin \left ( xy \left ( x \right ) \right ) -4\,x \right ) {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +x \left ( y \left ( x \right ) \right ) ^{2}\sin \left ( xy \left ( x \right ) \right ) -y \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.070009 (sec), leaf count = 23 \[ \text {Solve}\left [-4 \log (y(x))-\cos (x y(x))-\log (x)=c_1,y(x)\right ] \]

Maple: cpu = 0.110 (sec), leaf count = 23 \[ \left \{ y \left ( x \right ) ={\frac {1}{x}{\it RootOf} \left ( -{\it \_Z}+{{\rm e}^{-{\frac {\cos \left ( {\it \_Z} \right ) }{4}}}}{\it \_C1 }\,{x}^{{\frac {3}{4}}} \right ) } \right \} \]