The general solution of the differential equation y'' + y = 6 sin x is:

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Mathematics · Differential Equations

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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y(x) = C1 cos x + C2 sin x - 3x cos x

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Answer 1

y(x) = C1 cos x + C2 sin x - 3x cos x

Answer 2

y(x) = C1 cos x + C2 sin x - 3 sin x

Answer 3

y(x) = C1ex + C2e-x - 3x cos x

Answer 4

y(x) = C1ex + C2e-x + 3x cos x

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