Find the general solution of the differential equation y'' + 9y = 0.

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Mathematics · Differential Equations

Find the general solution of the differential equation y'' + 9y = 0.

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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y = c1 cos(3x) + c2 sin(3x)

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Answer 1

y = c1 cos(3x) + c2 sin(3x)

Answer 2

y = c1 e3x + c2 e-3x

Answer 3

y = e-3x (c1 cos(3x) + c2 sin(3x))

Answer 4

y = e3x (c1 cos(3x) + c2 sin(3x))

Find the general solution of the differential equation y'' + 9y = 0.

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