2.359   ODE No. 359

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

\[ 3 \sin (\text {Global$\grave { }$x}) \text {Global$\grave { }$y}'(\text {Global$\grave { }$x}) \sin (\text {Global$\grave { }$y}(\text {Global$\grave { }$x}))+5 \text {Global$\grave { }$y}(\text {Global$\grave { }$x}) \cos ^4(\text {Global$\grave { }$x})=0 \] Mathematica : cpu = 0.0584175 (sec), leaf count = 45

\[\left \{\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to \text {SinIntegral}^{(-1)}\left (c_1-\frac {5}{3} \left (\frac {5 \cos (\text {Global$\grave { }$x})}{4}+\frac {1}{12} \cos (3 \text {Global$\grave { }$x})+\log \left (\sin \left (\frac {\text {Global$\grave { }$x}}{2}\right )\right )-\log \left (\cos \left (\frac {\text {Global$\grave { }$x}}{2}\right )\right )\right )\right )\right \}\right \}\]

Maple : cpu = 0.052 (sec), leaf count = 28

\[ \left \{ {\frac {\cos \left ( 3\,x \right ) }{12}}+{\frac {5\,\cos \left ( x \right ) }{4}}+\ln \left ( \csc \left ( x \right ) -\cot \left ( x \right ) \right ) +{\frac {3\,{\it Si} \left ( y \left ( x \right ) \right ) }{5}}+{\it \_C1}=0 \right \} \]