determine the values of r for which erx satisfies the differential equation, we substitute f(x) = erx in the equation, 6f ''(x) + 3f '(x) − 3f(x) = 0. Thus, we need to find f '(x) and f ''(x). f(x) = erx f '(x) = f ''(x) =
determine the values of r for which erx satisfies the differential equation, we substitute f(x) = erx in the equation, 6f ''(x) + 3f '(x) − 3f(x) = 0. Thus, we need to find f '(x) and f ''(x). f(x) = erx f '(x) = f ''(x) =
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 5E
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Question
o determine the values of r for which
erx
satisfies the
f(x) = erx
in the equation,
6f ''(x) + 3f '(x) − 3f(x) = 0.
Thus, we need to find f '(x) and f ''(x).
f(x) | = | erx |
|
||
f '(x) | = |
|
|
||
f ''(x) | = |
|
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