2.863   ODE No. 863

\[ y'(x)=\frac {x \sqrt {x^2+y(x)^2}+x^4 \sqrt {x^2+y(x)^2}+x^3 \sqrt {x^2+y(x)^2}+y(x)}{x} \] Mathematica : cpu = 0.19731 (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 = 13.823 (sec), leaf count = 38


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