ODE
\[ y''(x)+4 y'(x)+5 y(x)=0 \] ODE Classification
[[_2nd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.19188 (sec), leaf count = 22
\[\left \{\left \{y(x)\to e^{-2 x} (c_2 \cos (x)+c_1 \sin (x))\right \}\right \}\]
Maple ✓
cpu = 0.007 (sec), leaf count = 21
\[[y \left (x \right ) = \textit {\_C1} \,{\mathrm e}^{-2 x} \sin \left (x \right )+\textit {\_C2} \,{\mathrm e}^{-2 x} \cos \left (x \right )]\] Mathematica raw input
DSolve[5*y[x] + 4*y'[x] + y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> (C[2]*Cos[x] + C[1]*Sin[x])/E^(2*x)}}
Maple raw input
dsolve(diff(diff(y(x),x),x)+4*diff(y(x),x)+5*y(x) = 0, y(x))
Maple raw output
[y(x) = _C1*exp(-2*x)*sin(x)+_C2*exp(-2*x)*cos(x)]