2.114   ODE No. 114

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

\[ -x \sqrt {x^2+y(x)^2}+x y'(x)-y(x)=0 \] Mathematica : cpu = 0.020796 (sec), leaf count = 12

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

Maple : cpu = 2.378 (sec), leaf count = 28

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