ODE
\[ y''(x)+2 y'(x)+y(x)=0 \] ODE Classification
[[_2nd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.157682 (sec), leaf count = 18
\[\left \{\left \{y(x)\to e^{-x} (c_2 x+c_1)\right \}\right \}\]
Maple ✓
cpu = 0.01 (sec), leaf count = 18
\[[y \left (x \right ) = \textit {\_C1} \,{\mathrm e}^{-x}+\textit {\_C2} \,{\mathrm e}^{-x} x]\] Mathematica raw input
DSolve[y[x] + 2*y'[x] + y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> (C[1] + x*C[2])/E^x}}
Maple raw input
dsolve(diff(diff(y(x),x),x)+2*diff(y(x),x)+y(x) = 0, y(x))
Maple raw output
[y(x) = _C1*exp(-x)+_C2*exp(-x)*x]