2.863   ODE No. 863

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

\[ y'(x)=\frac {x \sqrt {x^2+y(x)^2}+x^4 \sqrt {x^2+y(x)^2}+x^3 \sqrt {x^2+y(x)^2}+y(x)}{x} \] Mathematica : cpu = 0.243957 (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 = 14.23 (sec), leaf count = 38

\[\left \{-\frac {x^{4}}{4}-\frac {x^{3}}{3}-c_{1}-x -\ln \left (x \right )+\ln \left (y \left (x \right )+\sqrt {x^{2}+y \left (x \right )^{2}}\right ) = 0\right \}\]