THE DIFFERENTIAL EQUATION GOVERNING THE VIBRATING SYSTEM IS

7. The differential equation governing the vibrating system is:

y x

k

m

C

(A) ^{mx && + cx & + k x} ( ^{− y} ) ^{= 0}

(B) ^{m x} ( ^{&& − y &&} ) ^{+ c x} ( ^{& − y &} ) ^{+ kx = 0}

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(C) ^{mx && + c x} ( ^{& − y &} ) ^{+ kx = 0}

(D) ^{m x} ( ^{&& − y &&} ) ^{+ c x} ( ^{& − y &} ) ^{+ k x} ( ^{− y} ) ^{= 0}