Consider the differential equation
y '' −
2y ' + 10y =
0; ex
cos(3x),
ex
sin(3x), (−∞, ∞).
Verify that the given functions form a fundamental set of
solutions of the differential equation on the indicated
interval.
The functions satisfy the differential equation and are linearly
independent since
W(ex
cos(3x),
ex
sin(3x)) = _____ANSWER HERE______ ≠ 0 for −∞ <
x < ∞.
Form the general solution.
y = ____ANSWER HERE_____