2.364   ODE No. 364

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

\[ \text {Global$\grave { }$x} \text {Global$\grave { }$y}'(\text {Global$\grave { }$x}) \left (\text {Global$\grave { }$y}(\text {Global$\grave { }$x}) \sin \left (\frac {\text {Global$\grave { }$y}(\text {Global$\grave { }$x})}{\text {Global$\grave { }$x}}\right )-\text {Global$\grave { }$x} \cos \left (\frac {\text {Global$\grave { }$y}(\text {Global$\grave { }$x})}{\text {Global$\grave { }$x}}\right )\right )-\text {Global$\grave { }$y}(\text {Global$\grave { }$x}) \left (\text {Global$\grave { }$y}(\text {Global$\grave { }$x}) \sin \left (\frac {\text {Global$\grave { }$y}(\text {Global$\grave { }$x})}{\text {Global$\grave { }$x}}\right )+\text {Global$\grave { }$x} \cos \left (\frac {\text {Global$\grave { }$y}(\text {Global$\grave { }$x})}{\text {Global$\grave { }$x}}\right )\right )=0 \] Mathematica : cpu = 0.063367 (sec), leaf count = 31

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

Maple : cpu = 0.095 (sec), leaf count = 23

\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}}{\cos \left ( {\it RootOf} \left ( -{\it \_Z}\,{x}^{2}\cos \left ( {\it \_Z} \right ) +{\it \_C1} \right ) \right ) x}} \right \} \]