1.

The differential equation obtained on eliminating A and B from the equation \[y=A\cos \omega t+B\sin \omega t\] is [Karnataka CET 2000; Pb. CET 2001]

A.                 \[{y}''=-{{\omega }^{2}}y\]            
B.                 \[{y}''+y=0\]
C.                 \[{y}''+{y}'=0\]   
D.                 \[{y}''-{{\omega }^{2}}y=0\]
Answer» B.                 \[{y}''+y=0\]


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