3.114   ODE No. 114

\[ \boxed { x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) -x\sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}}-y \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.019502 (sec), leaf count = 12 \[ \left \{\left \{y(x)\to x \sinh \left (c_1+x\right )\right \}\right \} \]

Maple: cpu = 0.936 (sec), leaf count = 28 \[ \left \{ \ln \left ( \sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{ x}^{2}}+y \left ( x \right ) \right ) -x-\ln \left ( x \right ) -{\it \_C1}=0 \right \} \]