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Question

If y=exsinx and z=excosx then

A
y=z
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B
y′′=2z
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C
z′′=2y
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D
z=y
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Solution

The correct options are
A y′′=2z
C z′′=2y
y=exsinxy=exsinx+excosxy′′=exsinx+excosx+excosxexsinx=2excosx=2zz=excosxz=excosxexsinxz′′=excosxexsinxexsinxexcosx=2exsinx=2y

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