ODE
\[ 4 x^4 y'''(x)-4 x^3 y''(x)+4 x^2 y'(x)=1 \] ODE Classification
[[_3rd_order, _missing_y]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.168153 (sec), leaf count = 42
\[\left \{\left \{y(x)\to \frac {1}{4} (2 c_1-c_2) x^2+\frac {1}{2} c_2 x^2 \log (x)-\frac {1}{36 x}+c_3\right \}\right \}\]
Maple ✓
cpu = 0.299 (sec), leaf count = 31
\[\left [y \left (x \right ) = \frac {x^{2} \textit {\_C1} \ln \left (x \right )}{2}-\frac {x^{2} \textit {\_C1}}{4}+\frac {x^{2} \textit {\_C2}}{2}-\frac {1}{36 x}+\textit {\_C3}\right ]\] 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*1/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))
Maple raw output
[y(x) = 1/2*x^2*_C1*ln(x)-1/4*x^2*_C1+1/2*x^2*_C2-1/36/x+_C3]