ODE
\[ y'''(x)-3 y'(x)+2 y(x)=0 \] ODE Classification
[[_3rd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.162442 (sec), leaf count = 25
\[\left \{\left \{y(x)\to c_1 e^{-2 x}+e^x (c_3 x+c_2)\right \}\right \}\]
Maple ✓
cpu = 0.012 (sec), leaf count = 20
\[[y \left (x \right ) = {\mathrm e}^{-2 x} \textit {\_C1} +\textit {\_C2} \,{\mathrm e}^{x}+\textit {\_C3} \,{\mathrm e}^{x} x]\] Mathematica raw input
DSolve[2*y[x] - 3*y'[x] + y'''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> C[1]/E^(2*x) + E^x*(C[2] + x*C[3])}}
Maple raw input
dsolve(diff(diff(diff(y(x),x),x),x)-3*diff(y(x),x)+2*y(x) = 0, y(x))
Maple raw output
[y(x) = exp(-2*x)*_C1+_C2*exp(x)+_C3*exp(x)*x]