4.18.41 $4x{y}^{\prime }(x{)}^2+4y(x)y^{\prime }(x)=1$

ODE
$$4x{y}^{\prime }(x{)}^2+4y(x)y^{\prime }(x)=1$$ ODE Classification

[[_homogeneous, `class G`], _rational, _dAlembert]

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

Mathematica ✓
cpu = 20.4233 (sec), leaf count = 1

$$\mathrm{\$}\text{Aborted}$$

Maple ✓
cpu = 0.023 (sec), leaf count = 32

$$\{[x\left(\mathit{\_}\mathit{T}\right)=1(\frac{1}{12}{\mathit{\_}\mathit{T}}^{-\frac{3}{2}}+\mathit{\_}\mathit{C}\mathit{1})\frac{1}{\sqrt{\mathit{\_}\mathit{T}}},y\left(\mathit{\_}\mathit{T}\right)=\frac{1}{6{\mathit{\_}\mathit{T}}^2}(-6{\mathit{\_}\mathit{T}}^{5/2}\mathit{\_}\mathit{C}\mathit{1}+\mathit{\_}\mathit{T})]\}$$ Mathematica raw input

DSolve[4*y[x]*y'[x] + 4*x*y'[x]^2 == 1,y[x],x]

Mathematica raw output

$Aborted

Maple raw input

dsolve(4*x*diff(y(x),x)^2+4*y(x)*diff(y(x),x) = 1, y(x),'implicit')

Maple raw output

[x(_T) = 1/_T^(1/2)*(1/12/_T^(3/2)+_C1), y(_T) = 1/6*(-6*_T^(5/2)*_C1+_T)/_T^2]