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Let f(x) be a polynomial satisfying f(0)...

Let f(x) be a polynomial satisfying f(0)=2, f'(0)=3 and f''(x)=f(x).
Answer the following the question based on above passage:
f(x) is given by

A

`5(e^x-e^-x)`

B

`5(e^x+e^-x)`

C

`((5e^x-e^-x)/2)`

D

`5/2(e^x+e^-x)`

Text Solution

Verified by Experts

The correct Answer is:
C
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