Concours INP-HB Cycle Ingénieur Practice Questions - Concours D'Entrée à L'INP-HB - Cycle Ingénieur (concours Directs CAE, GIN, GCN, A2GP) Exam

What is the general solution to the second-order non-homogeneous differential equation y'' - 6y' + 9y = 18x + 3?

y(x) = (C₁ + C₂ x)e^(3x) + 2x + 5/3 y(x) = C₁ e^(3x) + C₂ e^(-3x) + 2x + 1 y(x) = (C₁ + C₂ x)e^(3x) + 18x + 3 y(x) = C₁ cos(3x) + C₂ sin(3x) + 2x + 5/3

Correct Answer:

y(x) = (C₁ + C₂ x)e^(3x) + 2x + 5/3

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