ODE
\[ y'''(x)-4 y''(x)+6 y'(x)-4 y(x)=0 \] ODE Classification
[[_3rd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.156472 (sec), leaf count = 26
\[\left \{\left \{y(x)\to e^x \left (c_3 e^x+c_2 \cos (x)+c_1 \sin (x)\right )\right \}\right \}\]
Maple ✓
cpu = 0.013 (sec), leaf count = 23
\[[y \left (x \right ) = {\mathrm e}^{2 x} \textit {\_C1} +\textit {\_C2} \,{\mathrm e}^{x} \sin \left (x \right )+\textit {\_C3} \,{\mathrm e}^{x} \cos \left (x \right )]\] Mathematica raw input
DSolve[-4*y[x] + 6*y'[x] - 4*y''[x] + y'''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> E^x*(E^x*C[3] + C[2]*Cos[x] + C[1]*Sin[x])}}
Maple raw input
dsolve(diff(diff(diff(y(x),x),x),x)-4*diff(diff(y(x),x),x)+6*diff(y(x),x)-4*y(x) = 0, y(x))
Maple raw output
[y(x) = exp(2*x)*_C1+_C2*exp(x)*sin(x)+_C3*exp(x)*cos(x)]