3.123   ODE No. 123

\[ \boxed { x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -x\sin \left ( {\frac {y \left ( x \right ) }{x}} \right ) -y \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.058507 (sec), leaf count = 19 \[ \left \{\left \{y(x)\to 2 x \cot ^{-1}\left (\frac {e^{-c_1}}{x}\right )\right \}\right \} \]

Maple: cpu = 0.047 (sec), leaf count = 44 \[ \left \{ y \left ( x \right ) =\arctan \left ( 2\,{\frac {{\it \_C1}\,x}{ {{\it \_C1}}^{2}{x}^{2}+1}},-{\frac {{{\it \_C1}}^{2}{x}^{2}-1}{{{\it \_C1}}^{2}{x}^{2}+1}} \right ) x \right \} \]