2.863   ODE No. 863

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

\[ y'(x)=\frac {x^4 \sqrt {x^2+y(x)^2}+x^3 \sqrt {x^2+y(x)^2}+x \sqrt {x^2+y(x)^2}+y(x)}{x} \] Mathematica : cpu = 0.168677 (sec), leaf count = 30

\[\left \{\left \{y(x)\to x \sinh \left (\frac {1}{12} \left (3 x^4+4 x^3+12 x+12 c_1\right )\right )\right \}\right \}\] Maple : cpu = 12.839 (sec), leaf count = 38

\[ \left \{ \ln \left ( \sqrt { \left ( y \left ( x \right ) \right ) ^{2}+{x}^{2}}+y \left ( x \right ) \right ) -{\frac {{x}^{4}}{4}}-{\frac {{x}^{3}}{3}}-x-\ln \left ( x \right ) -{\it \_C1}=0 \right \} \]