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 = 0.384123 (sec), leaf count = 23

\[\text {Solve}[-4 \log (y(x))-\cos (x y(x))-\log (x)=c_1,y(x)]\] Maple : cpu = 0.241 (sec), leaf count = 23

\[\left \{y \left (x \right ) = \frac {\RootOf \left (c_{1} x^{\frac {3}{4}} {\mathrm e}^{-\frac {\cos \left (\textit {\_Z} \right )}{4}}-\textit {\_Z} \right )}{x}\right \}\]