2.349   ODE No. 349

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

\[ \text {Global$\grave { }$x} \text {Global$\grave { }$y}'(\text {Global$\grave { }$x}) \cot \left (\frac {\text {Global$\grave { }$y}(\text {Global$\grave { }$x})}{\text {Global$\grave { }$x}}\right )+2 \text {Global$\grave { }$x} \sin \left (\frac {\text {Global$\grave { }$y}(\text {Global$\grave { }$x})}{\text {Global$\grave { }$x}}\right )-\text {Global$\grave { }$y}(\text {Global$\grave { }$x}) \cot \left (\frac {\text {Global$\grave { }$y}(\text {Global$\grave { }$x})}{\text {Global$\grave { }$x}}\right )=0 \] Mathematica : cpu = 0.0377531 (sec), leaf count = 15

\[\left \{\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to \text {Global$\grave { }$x} \csc ^{-1}\left (2 \left (c_1+\log (\text {Global$\grave { }$x})\right )\right )\right \}\right \}\]

Maple : cpu = 0.041 (sec), leaf count = 15

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