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Question

If y=excos2x then which of the following differential equations is satisfied?

A
d2ydx2+2dydx+5y=0
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B
d2ydx2+5dydx+2y=0
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C
d2ydx25dydx2y=0
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D
d2ydx2+2dydx5y=0
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Solution

The correct option is B d2ydx2+2dydx+5y=0
y1=y2exsin2x.....(1)
y2=y1+2exsin2x4excos2x
=y1yy14y
y2+2y1+5y=0

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