The differentia equation obtained on eliminating A and B from `y=A cos\ omegat+bsinomegat ,` is `y^+y^(prime)=0` b. `y^-omega^2y=0` c. `y^=omega^2y` d. `y^+y=0`

Explanation

`y=A cos w t+B sin w t`

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y^{prime}=w(-A sin w t+B cos w t) `

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y^{prime prime}=w^{2}(-A cos w t-B sin w t) `

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y=A cos w t+B sin w t`

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y^{prime}=w(-A sin w t+B cos w t) `

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y^{prime prime}=w^{2}(-A cos w t-B sin w t) `

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y^{prime prime}=-w^{2}(A cos w t+B sin w t) `

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y^{prime prime}=-w^{2} y`

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