3.125   ODE No. 125

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

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

Mathematica: cpu = 0.038505 (sec), leaf count = 16 \[ \left \{\left \{y(x)\to x \sin ^{-1}\left (\frac {e^{c_1}}{x}\right )\right \}\right \} \]

Maple: cpu = 0.047 (sec), leaf count = 14 \[ \left \{ y \left ( x \right ) =\arcsin \left ( {\frac {1}{{\it \_C1}\,x}} \right ) x \right \} \]