4.22.17 $4x^2+x{y}^{\prime }(x{)}^3-2y(x)y^{\prime }(x{)}^2=0$

ODE
$$4x^2+x{y}^{\prime }(x{)}^3-2y(x)y^{\prime }(x{)}^2=0$$ ODE Classification

[[_1st_order, _with_linear_symmetries]]

Book solution method
No Missing Variables ODE, Solve for $y$

Mathematica ✗
cpu = 600.014 (sec), leaf count = 0 , timed out

$Aborted

Maple ✓
cpu = 0.656 (sec), leaf count = 97

$$\{{\left(y\left(x\right)\right)}^3-\frac{27x^4}{8}=0,[x\left(\mathit{\_}\mathit{T}\right)=\frac{\mathit{\_}\mathit{T}(({\mathit{\_}\mathit{T}}^2-\mathit{\_}\mathit{C}\mathit{1})\mathit{c}\mathit{s}\mathit{g}\mathit{n}(-{\mathit{\_}\mathit{T}}^2+\mathit{\_}\mathit{C}\mathit{1})-{\mathit{\_}\mathit{T}}^2)}{8},y\left(\mathit{\_}\mathit{T}\right)=-\frac{\mathit{\_}\mathit{C}\mathit{1}{\mathit{\_}\mathit{T}}^2}{16}+\frac{{\mathit{\_}\mathit{C}\mathit{1}}^2}{32}],[x\left(\mathit{\_}\mathit{T}\right)=\frac{\mathit{\_}\mathit{T}(({\mathit{\_}\mathit{T}}^2+\mathit{\_}\mathit{C}\mathit{1})\mathit{c}\mathit{s}\mathit{g}\mathit{n}({\mathit{\_}\mathit{T}}^2+\mathit{\_}\mathit{C}\mathit{1})-{\mathit{\_}\mathit{T}}^2)}{8},y\left(\mathit{\_}\mathit{T}\right)=\frac{\mathit{\_}\mathit{C}\mathit{1}{\mathit{\_}\mathit{T}}^2}{16}+\frac{{\mathit{\_}\mathit{C}\mathit{1}}^2}{32}]\}$$ Mathematica raw input

DSolve[4*x^2 - 2*y[x]*y'[x]^2 + x*y'[x]^3 == 0,y[x],x]

Mathematica raw output

$Aborted

Maple raw input

dsolve(x*diff(y(x),x)^3-2*y(x)*diff(y(x),x)^2+4*x^2 = 0, y(x),'implicit')

Maple raw output

y(x)^3-27/8*x^4 = 0, [x(_T) = 1/8*_T*((_T^2-_C1)*csgn(-_T^2+_C1)-_T^2), y(_T) = 
-1/16*_C1*_T^2+1/32*_C1^2], [x(_T) = 1/8*_T*((_T^2+_C1)*csgn(_T^2+_C1)-_T^2), y(
_T) = 1/16*_C1*_T^2+1/32*_C1^2]