Solve the following higher order differential equation f(3) (t) f(²) (t) + 4f'(t)-4f(t) = 0, with initial conditions f(0) = 1, f'(0) = −1, ƒ(²) (0) = 1.

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.CR: Chapter 11 Review
Problem 34CR
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Solve the following higher order differential equation
f(3) (t) f(²) (t) + 4f'(t)-4f(t) = 0,
with initial conditions f(0) = 1, f'(0) = −1, ƒ(²) (0) = 1.
Transcribed Image Text:Solve the following higher order differential equation f(3) (t) f(²) (t) + 4f'(t)-4f(t) = 0, with initial conditions f(0) = 1, f'(0) = −1, ƒ(²) (0) = 1.
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