4.45.7 $4x^4{y}^{‴}(x)-4x^3{y}^{″}(x)+4x^2{y}^{\prime }(x)=1$

ODE
$$4x^4{y}^{‴}(x)-4x^3{y}^{″}(x)+4x^2{y}^{\prime }(x)=1$$ ODE Classification

[[_3rd_order, _missing_y]]

Book solution method
TO DO

Mathematica ✓
cpu = 0.0235126 (sec), leaf count = 42

$$\left\{\{y(x)\to \frac{1}{4}(2c_1-c_2)x^2+\frac{1}{2}{c}_2{x}^2\log (x)+c_3-\frac{1}{36x}\}\right\}$$

Maple ✓
cpu = 0.029 (sec), leaf count = 34

$$\{y\left(x\right)=\frac{18x^3\mathit{\_}\mathit{C}\mathit{1}\ln \left(x\right)-1+(-9\mathit{\_}\mathit{C}\mathit{1}+18\mathit{\_}\mathit{C}\mathit{2})x^3+36\mathit{\_}\mathit{C}\mathit{3}x}{36x}\}$$ Mathematica raw input

DSolve[4*x^2*y'[x] - 4*x^3*y''[x] + 4*x^4*y'''[x] == 1,y[x],x]

Mathematica raw output

{{y[x] -> -1/(36*x) + (x^2*(2*C[1] - C[2]))/4 + C[3] + (x^2*C[2]*Log[x])/2}}

Maple raw input

dsolve(4*x^4*diff(diff(diff(y(x),x),x),x)-4*x^3*diff(diff(y(x),x),x)+4*x^2*diff(y(x),x) = 1, y(x),'implicit')

Maple raw output

y(x) = 1/36*(18*x^3*_C1*ln(x)-1+(-9*_C1+18*_C2)*x^3+36*_C3*x)/x