2.112   ODE No. 112

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

\[ -\sqrt {x^2+y(x)^2}+x y'(x)-y(x)=0 \] Mathematica : cpu = 0.0222455 (sec), leaf count = 13

\[\left \{\left \{y(x)\to x \sinh \left (c_1+\log (x)\right )\right \}\right \}\]

Maple : cpu = 0.038 (sec), leaf count = 27

\[ \left \{ {\frac {1}{{x}^{2}}\sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}}}+{\frac {y \left ( x \right ) }{{x}^{2}}}-{\it \_C1}=0 \right \} \]