ODE
\[ y''(x)-4 y'(x)+13 y(x)=0 \] ODE Classification
[[_2nd_order, _missing_x]]
Book solution method
TO DO
Mathematica ✓
cpu = 0.159284 (sec), leaf count = 26
\[\left \{\left \{y(x)\to e^{2 x} (c_2 \cos (3 x)+c_1 \sin (3 x))\right \}\right \}\]
Maple ✓
cpu = 0.008 (sec), leaf count = 25
\[[y \left (x \right ) = \textit {\_C1} \,{\mathrm e}^{2 x} \sin \left (3 x \right )+\textit {\_C2} \,{\mathrm e}^{2 x} \cos \left (3 x \right )]\] Mathematica raw input
DSolve[13*y[x] - 4*y'[x] + y''[x] == 0,y[x],x]
Mathematica raw output
{{y[x] -> E^(2*x)*(C[2]*Cos[3*x] + C[1]*Sin[3*x])}}
Maple raw input
dsolve(diff(diff(y(x),x),x)-4*diff(y(x),x)+13*y(x) = 0, y(x))
Maple raw output
[y(x) = _C1*exp(2*x)*sin(3*x)+_C2*exp(2*x)*cos(3*x)]