Find the general solution (D? + 9)y = 5e* – 162x %3D a. y = c, cos 3x + c2 sin 3x + 18x +e* 2 b. y = c1 cos 3x + c2 sin 3x – 18x+e C. y = C1 cos 3x + c2 sin 3x - 18x? + e d. y = c, cos 3x + c2 sin 3x + 18x² + 2 e. none of these 1/2

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A: I am attaching image so that you understand each and every step.

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A: INTEGRATION

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A: To evaluate the given intgral.

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A: 1. Given differential equation is (D2-4D+7)y = 0 Here Auxiliary equation is D2-4D+7 = 0⇒ D = 4 ± 16…

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