Concours INP-HB CPGE Practice Questions - Concours D'Entrée Aux Classes Préparatoires Aux Grandes Écoles (CPGE) - INP-HB Yamoussoukro Exam

Find the general solution to the second-order linear differential equation y'' - 4y' + 4y = e^(2x).

y(x) = (C_1 + C_2 x + (1/2)x^2) e^(2x) y(x) = (C_1 + C_2 x + x^2) e^(2x) y(x) = (C_1 e^(2x) + C_2 e^(-2x)) + (1/2) x^2 e^(2x) y(x) = (C_1 + C_2 x) e^(2x) + e^(2x)

Correct Answer:

y(x) = (C_1 + C_2 x + (1/2)x^2) e^(2x)

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