EXETAT Math-Physique Practice Questions - Examen D'État - Option Mathématiques-Physique (DR Congo) Exam

Find the unique solution to the second-order ODE y'' - 4y' + 13y = 0 satisfying y(0) = 2 and y'(0) = 4.

y(t) = 2e^(2t) cos(3t) y(t) = e^(2t)(2 cos(3t) + 4 sin(3t)) y(t) = 2e^(2t) sin(3t) y(t) = e^(2t)(2 cos(3t) + 2 sin(3t))

Correct Answer:

y(t) = 2e^(2t) cos(3t)

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