8.116   ODE No. 1706

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

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

Mathematica: cpu = 0.482561 (sec), leaf count = 52 $$\text{DSolve}[-y(x)f^{″}(x)+f^{\prime }(x)y^{\prime }(x)+f(x)y(x{)}^3+y(x)y^{″}(x)-y^{\prime }(x{)}^2-y(x{)}^4=0,y(x),x]$$

Maple: cpu = 0.390 (sec), leaf count = 0 $$\text{could not solve}$$