ODE No. 337

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

\[ \left (\sqrt {x^2+y(x)^2}+x\right ) y'(x)-y(x)=0 \] Mathematica : cpu = 0.0562078 (sec), leaf count = 52

\[\left \{\left \{y(x)\to -e^{\frac {c_1}{2}} \sqrt {e^{c_1}+2 x}\right \},\left \{y(x)\to e^{\frac {c_1}{2}} \sqrt {e^{c_1}+2 x}\right \}\right \}\] Maple : cpu = 0.085 (sec), leaf count = 28

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