3.863   ODE No. 863

$$\boxed{{\displaystyle \frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)=\frac{y\left(x\right)+x\sqrt{{\left(y\left(x\right)\right)}^2+x^2}+x^3\sqrt{{\left(y\left(x\right)\right)}^2+x^2}+x^4\sqrt{{\left(y\left(x\right)\right)}^2+x^2}}{x}=0}}$$

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

Mathematica: cpu = 0.034504 (sec), leaf count = 30 $$\left\{\{y(x)\to x\sinh \left(\frac{1}{12}(12c_1+3x^4+4x^3+12x)\right)\}\right\}$$

Maple: cpu = 2.355 (sec), leaf count = 38 $$\{\ln (y\left(x\right)+\sqrt{{\left(y\left(x\right)\right)}^2+x^2})-\frac{x^4}{4}-\frac{x^3}{3}-x-\ln \left(x\right)-\mathit{\_}\mathit{C}\mathit{1}=0\}$$