ODE
\[ y''(x)+2 y'(x)+5 y(x)=0 \] ODE Classification
[[_2nd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.15411 (sec), leaf count = 26
\[\left \{\left \{y(x)\to e^{-x} (c_2 \cos (2 x)+c_1 \sin (2 x))\right \}\right \}\]
Maple ✓
cpu = 0.007 (sec), leaf count = 25
\[[y \left (x \right ) = \textit {\_C1} \,{\mathrm e}^{-x} \sin \left (2 x \right )+\textit {\_C2} \,{\mathrm e}^{-x} \cos \left (2 x \right )]\] Mathematica raw input
DSolve[5*y[x] + 2*y'[x] + y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> (C[2]*Cos[2*x] + C[1]*Sin[2*x])/E^x}}
Maple raw input
dsolve(diff(diff(y(x),x),x)+2*diff(y(x),x)+5*y(x) = 0, y(x))
Maple raw output
[y(x) = _C1*exp(-x)*sin(2*x)+_C2*exp(-x)*cos(2*x)]