ODE
\[ x^2 y'''(x)+5 x y''(x)+4 y'(x)=\log (x) \] ODE Classification
[[_3rd_order, _missing_y]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.17981 (sec), leaf count = 43
\[\left \{\left \{y(x)\to \frac {\left (x^2-8 c_2\right ) \log (x)-2 \left (x^2-2 c_3 x+2 c_1+4 c_2\right )}{4 x}\right \}\right \}\]
Maple ✓
cpu = 0.171 (sec), leaf count = 25
\[\left [y \left (x \right ) = \textit {\_C1} +\frac {\textit {\_C2} \ln \left (x \right )}{x}+\frac {\textit {\_C3}}{x}+\frac {x \left (-2+\ln \left (x \right )\right )}{4}\right ]\] Mathematica raw input
DSolve[4*y'[x] + 5*x*y''[x] + x^2*y'''[x] == Log[x],y[x],x]
Mathematica raw output
{{y[x] -> (-2*(x^2 + 2*C[1] + 4*C[2] - 2*x*C[3]) + (x^2 - 8*C[2])*Log[x])/(4*x)}}
Maple raw input
dsolve(x^2*diff(diff(diff(y(x),x),x),x)+5*x*diff(diff(y(x),x),x)+4*diff(y(x),x) = ln(x), y(x))
Maple raw output
[y(x) = _C1+1/x*_C2*ln(x)+1/x*_C3+1/4*x*(-2+ln(x))]