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categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
Consider the following differential equation to be solved by undetermined coefficients.
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y(4) — 2y""' + y" = e* + 1
Write the given differential equation in the form L(y) = 0, where L is a linear operator with constant coefficients. If possible,
factor L. (Use D for the differential operator.)
)y = ex + 1
Find a linear differential operator that annihilates the function g(x) = ex + 1. (Use D for the differential operator.)
Solve the given differential equation by undetermined coefficients.
y(x) =
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