8.112   ODE No. 1702

$$\boxed{{\displaystyle \left(\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)\right)y\left(x\right)-{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2+{\mathrm{e}}^{x}y\left(x\right)(c{\left(y\left(x\right)\right)}^2+d)+{\mathrm{e}}^{2x}(b+a{\left(y\left(x\right)\right)}^4)=0}}$$

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

Mathematica: cpu = 5.336178 (sec), leaf count = 50 $$\text{DSolve}[e^{2x}(ay(x{)}^4+b)+e^{x}y(x)(cy(x{)}^2+d)+y(x)y^{″}(x)-y^{\prime }(x{)}^2=0,y(x),x]$$

Maple: cpu = 3.448 (sec), leaf count = 0 $$\text{could not solve}$$