2.362   ODE No. 362

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

\[ y'(x) \left (x^2 y(x) \sin (x y(x))-4 x\right )-y(x)+x y(x)^2 \sin (x y(x))=0 \] Mathematica : cpu = 0.318033 (sec), leaf count = 23

\[\text {Solve}[-4 \log (y(x))-\cos (x y(x))-\log (x)=c_1,y(x)]\] Maple : cpu = 0.207 (sec), leaf count = 23

\[ \left \{ y \left ( x \right ) ={\frac {1}{x}{\it RootOf} \left ( -{\it \_Z}+{{\rm e}^{-{\frac {\cos \left ( {\it \_Z} \right ) }{4}}}}{\it \_C1}\,{x}^{{\frac {3}{4}}} \right ) } \right \} \]