Q. 7

Mark the correct alternative in each of the following:

The differential equation obtained on eliminating A and B from y = A cos ωt + B sin ωt, is

A. yn + y’ = 0

B. yn – ω2y = 0

C. yn = –ω2y

D. yn + y = 0

Answer :

y = A cos ωt + B sin ωt ---(1)

Since we need to eliminate A and B, so we differentiate (1) twice.

Differentiating (1) w.r.t t we get,

Again differentiating (1) w.r.t t we get,

y'' = -ω2 y


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