8.171   ODE No. 1761

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

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

Mathematica: cpu = 1.733720 (sec), leaf count = 52 $$\text{DSolve}[x(ay(x{)}^4+d)+y(x)(by(x{)}^2+c)+xy(x)y^{″}(x)-x{y}^{\prime }(x{)}^2+y(x)y^{\prime }(x)=0,y(x),x]$$

Maple: cpu = 2.184 (sec), leaf count = 0 $$\text{could not solve}$$