ODE
\[ -12 y'''(x)+4 y''''(x)+11 y''(x)-3 y'(x)=0 \] ODE Classification
[[_high_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.178765 (sec), leaf count = 38
\[\left \{\left \{y(x)\to 2 c_1 e^{x/2}+\frac {2}{3} c_2 e^{3 x/2}+c_3 e^x+c_4\right \}\right \}\]
Maple ✓
cpu = 0.013 (sec), leaf count = 22
\[\left [y \left (x \right ) = \textit {\_C1} +\textit {\_C2} \,{\mathrm e}^{\frac {x}{2}}+\textit {\_C3} \,{\mathrm e}^{\frac {3 x}{2}}+\textit {\_C4} \,{\mathrm e}^{x}\right ]\] Mathematica raw input
DSolve[-3*y'[x] + 11*y''[x] - 12*y'''[x] + 4*y''''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> 2*E^(x/2)*C[1] + (2*E^((3*x)/2)*C[2])/3 + E^x*C[3] + C[4]}}
Maple raw input
dsolve(4*diff(diff(diff(diff(y(x),x),x),x),x)-12*diff(diff(diff(y(x),x),x),x)+11*diff(diff(y(x),x),x)-3*diff(y(x),x) = 0, y(x))
Maple raw output
[y(x) = _C1+_C2*exp(1/2*x)+_C3*exp(3/2*x)+_C4*exp(x)]