Suppose f(x)=e^(ax)+e^(bx)," where " a n...

Suppose `f(x)=e^(ax)+e^(bx)," where " a ne b,` and that f''(x) -2f'(x)-15f(x)=0 for all x. Then the product ab is

A

25

B

9

C

-15

D

-9

Text Solution

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To solve the problem, we start with the function given: \[ f(x) = e^{ax} + e^{bx} \] where \( a \neq b \). We also have the differential equation: \[ f''(x) - 2f'(x) - 15f(x) = 0 \] ...

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