Suppose , where , and that for all . Then the value of is…

MATHEMATICS · Subjective · IB Diploma Programme · Mathematics: Applications and Interpretation · Calculus · Calculus

Problem

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 value of

|ab|/3

is .....