ODE
\[ y''(x)+6 y'(x)+9 y(x)=0 \] ODE Classification
[[_2nd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.169452 (sec), leaf count = 18
\[\left \{\left \{y(x)\to e^{-3 x} (c_2 x+c_1)\right \}\right \}\]
Maple ✓
cpu = 0.012 (sec), leaf count = 18
\[[y \left (x \right ) = \textit {\_C1} \,{\mathrm e}^{-3 x}+\textit {\_C2} \,{\mathrm e}^{-3 x} x]\] Mathematica raw input
DSolve[9*y[x] + 6*y'[x] + y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> (C[1] + x*C[2])/E^(3*x)}}
Maple raw input
dsolve(diff(diff(y(x),x),x)+6*diff(y(x),x)+9*y(x) = 0, y(x))
Maple raw output
[y(x) = _C1*exp(-3*x)+_C2*exp(-3*x)*x]