ODE
\[ y'''(x)-3 y''(x)+4 y'(x)-2 y(x)=0 \] ODE Classification
[[_3rd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.157601 (sec), leaf count = 22
\[\left \{\left \{y(x)\to e^x (c_2 \cos (x)+c_1 \sin (x)+c_3)\right \}\right \}\]
Maple ✓
cpu = 0.013 (sec), leaf count = 21
\[[y \left (x \right ) = \textit {\_C1} \,{\mathrm e}^{x}+\textit {\_C2} \,{\mathrm e}^{x} \sin \left (x \right )+\textit {\_C3} \,{\mathrm e}^{x} \cos \left (x \right )]\] Mathematica raw input
DSolve[-2*y[x] + 4*y'[x] - 3*y''[x] + y'''[x] == 0,y[x],x]
Mathematica raw output
{{y[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)-3*diff(diff(y(x),x),x)+4*diff(y(x),x)-2*y(x) = 0, y(x))
Maple raw output
[y(x) = _C1*exp(x)+_C2*exp(x)*sin(x)+_C3*exp(x)*cos(x)]