Second Order Equations-Homogeneous Linear: Problem 1

(1 point)

For the differential equation y" + 4y' + 13y = 0, a general solution is of the form y = e ² (C₁ sin 3x + C₂ cos 3x), where C₁ and C₂ are arbitrary

constants.

Applying the initial conditions y(0) = 5 and y'(0) = -25, find the specific solution.

y =