2.363   ODE No. 363

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

\[ \left (\text {Global$\grave { }$x} \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})-\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\right ) \cos ^2\left (\frac {\text {Global$\grave { }$y}(\text {Global$\grave { }$x})}{\text {Global$\grave { }$x}}\right )+\text {Global$\grave { }$x}=0 \] Mathematica : cpu = 0.0354934 (sec), leaf count = 33

\[\text {Solve}\left [\frac {\text {Global$\grave { }$y}(\text {Global$\grave { }$x})}{2 \text {Global$\grave { }$x}}+\frac {1}{4} \sin \left (\frac {2 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})}{\text {Global$\grave { }$x}}\right )=c_1-\log (\text {Global$\grave { }$x}),\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\right ]\]

Maple : cpu = 0.064 (sec), leaf count = 35

\[ \left \{ -{\frac {1}{2\,x} \left ( \cos \left ( {\frac {y \left ( x \right ) }{x}} \right ) \sin \left ( {\frac {y \left ( x \right ) }{x}} \right ) x+y \left ( x \right ) \right ) }-\ln \left ( x \right ) -{\it \_C1}=0 \right \} \]