ODE
\[ 4 y''(x)+2 y'(x)+y(x)=0 \] ODE Classification
[[_2nd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.159671 (sec), leaf count = 42
\[\left \{\left \{y(x)\to e^{-x/4} \left (c_2 \cos \left (\frac {\sqrt {3} x}{4}\right )+c_1 \sin \left (\frac {\sqrt {3} x}{4}\right )\right )\right \}\right \}\]
Maple ✓
cpu = 0.007 (sec), leaf count = 31
\[\left [y \left (x \right ) = \textit {\_C1} \,{\mathrm e}^{-\frac {x}{4}} \sin \left (\frac {\sqrt {3}\, x}{4}\right )+\textit {\_C2} \,{\mathrm e}^{-\frac {x}{4}} \cos \left (\frac {\sqrt {3}\, x}{4}\right )\right ]\] Mathematica raw input
DSolve[y[x] + 2*y'[x] + 4*y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> (C[2]*Cos[(Sqrt[3]*x)/4] + C[1]*Sin[(Sqrt[3]*x)/4])/E^(x/4)}}
Maple raw input
dsolve(4*diff(diff(y(x),x),x)+2*diff(y(x),x)+y(x) = 0, y(x))
Maple raw output
[y(x) = _C1*exp(-1/4*x)*sin(1/4*3^(1/2)*x)+_C2*exp(-1/4*x)*cos(1/4*3^(1/2)*x)]