Cameroon Baccalauréat Série C Practice Questions - Cameroon Baccalauréat Série C (Mathématiques Et Sciences Physiques) Exam

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Find the unique solution $y(x)$ to the second-order differential equation $y'' - 4y' + 13y = 0$ satisfying initial conditions $y(0) = 2$ and $y'(0) = 7$.

y(x) = e^{2x}(2\cos(3x) - 3\sin(3x)) y(x) = e^{2x}(2\cos(3x) + \sin(3x)) y(x) = e^{3x}(\cos(2x) + 2\sin(2x)) y(x) = e^{-2x}(2\cos(3x) + 7\sin(3x))

Correct Answer:

y(x) = e^{2x}(2\cos(3x) + \sin(3x))

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