2.362   ODE No. 362

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

\[ \text {Global$\grave { }$y}'(\text {Global$\grave { }$x}) \left (\text {Global$\grave { }$x}^2 \text {Global$\grave { }$y}(\text {Global$\grave { }$x}) \sin (\text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x}))-4 \text {Global$\grave { }$x}\right )-\text {Global$\grave { }$y}(\text {Global$\grave { }$x})+\text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^2 \sin (\text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x}))=0 \] Mathematica : cpu = 0.0673565 (sec), leaf count = 23

\[\text {Solve}\left [-4 \log (\text {Global$\grave { }$y}(\text {Global$\grave { }$x}))-\cos (\text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x}))-\log (\text {Global$\grave { }$x})=c_1,\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\right ]\]

Maple : cpu = 0.238 (sec), leaf count = 23

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