ODE
\[ y'''(x)-7 y'(x)+6 y(x)=0 \] ODE Classification
[[_3rd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.159107 (sec), leaf count = 28
\[\left \{\left \{y(x)\to c_1 e^{-3 x}+c_2 e^x+c_3 e^{2 x}\right \}\right \}\]
Maple ✓
cpu = 0.014 (sec), leaf count = 21
\[[y \left (x \right ) = {\mathrm e}^{2 x} \textit {\_C1} +\textit {\_C2} \,{\mathrm e}^{-3 x}+\textit {\_C3} \,{\mathrm e}^{x}]\] Mathematica raw input
DSolve[6*y[x] - 7*y'[x] + y'''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> C[1]/E^(3*x) + E^x*C[2] + E^(2*x)*C[3]}}
Maple raw input
dsolve(diff(diff(diff(y(x),x),x),x)-7*diff(y(x),x)+6*y(x) = 0, y(x))
Maple raw output
[y(x) = exp(2*x)*_C1+_C2*exp(-3*x)+_C3*exp(x)]