Suppose , where and f''(x) - 2f'(x) - 15f(x) = 0 for all x. Then, the value of |a+b|…

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Suppose

f(x) = e^{ax} + e^{bx}

, where

a \neq b

and

f''(x) - 2f'(x) - 15f(x) = 0 \text{ for all } x. \text{ Then, the value of } |a+b| \text{ is equal to ..... .}