Directions: Determine if the given function is a solution of the following initial value problem. Function: f(t) = 3e¹t Differential Equation: y" - 5y + 4y = 0 Initial Condition: y(0) = 3 1. Answer the following: Function f(t) is or is not a solution? of the differential equation. • Function f(t) satisfies or does not satisfy? the initial condition. • Function f(t) is or is not a solution? of the initial value problem. 2. As part of your work, calculate the following: f"(t) = = • 5. f'(t) = ●
Directions: Determine if the given function is a solution of the following initial value problem. Function: f(t) = 3e¹t Differential Equation: y" - 5y + 4y = 0 Initial Condition: y(0) = 3 1. Answer the following: Function f(t) is or is not a solution? of the differential equation. • Function f(t) satisfies or does not satisfy? the initial condition. • Function f(t) is or is not a solution? of the initial value problem. 2. As part of your work, calculate the following: f"(t) = = • 5. f'(t) = ●
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 1CR
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![Directions: Determine if the given function is a solution of the following initial value problem.
Function: f(t) = 3e¹t
1. Answer the following:
●
●
●
Differential Equation:_y" — 5y + 4y = 0
●
2. As part of your work, calculate the following:
0
Function f(t) is or is not a solution? of the differential equation.
Function f(t) satisfies or does not satisfy? the initial condition.
Function f(t) is or is not a solution? of the initial value problem.
f"(t) =
Initial Condition: _y(0) = 3
• 5. f'(t) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdec3a662-69a9-4ede-8651-257d319713a0%2Fd5a4b8b1-cbad-4af7-b383-9a59a8fd7c7e%2Fg1m3e9h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Directions: Determine if the given function is a solution of the following initial value problem.
Function: f(t) = 3e¹t
1. Answer the following:
●
●
●
Differential Equation:_y" — 5y + 4y = 0
●
2. As part of your work, calculate the following:
0
Function f(t) is or is not a solution? of the differential equation.
Function f(t) satisfies or does not satisfy? the initial condition.
Function f(t) is or is not a solution? of the initial value problem.
f"(t) =
Initial Condition: _y(0) = 3
• 5. f'(t) =
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