8.147   ODE No. 1737

$$\boxed{{\displaystyle 2\left(\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)\right)y\left(x\right)-{\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2+b-4(x^2+a){\left(y\left(x\right)\right)}^2-8x{\left(y\left(x\right)\right)}^3-3{\left(y\left(x\right)\right)}^4=0}}$$

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

Mathematica: cpu = 1.182650 (sec), leaf count = 48 $$\text{DSolve}[-4(a+x^2)y(x{)}^2+b+2y(x)y^{″}(x)-y^{\prime }(x{)}^2-3y(x{)}^4-8xy(x{)}^3=0,y(x),x]$$

Maple: cpu = 1.779 (sec), leaf count = 0 $$\text{could not solve}$$