rections: Determine if the given function is a solution of the following initial value problem. Function: f(t) = 5e³t Differential Equation: y" - 4y' + 3y =0 Initial Condition: y(0) = 8 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. . As part of your work, calculate the following: ● ● ● f(0) =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Directions: Determine if the given function is a solution of the following initial value problem.
Function: f(t) = 5e³t
Differential Equation: y" - 4y + 3y = 0 Initial Condition: _y(0) = 8
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(0)
=
Transcribed Image Text:Directions: Determine if the given function is a solution of the following initial value problem. Function: f(t) = 5e³t Differential Equation: y" - 4y + 3y = 0 Initial Condition: _y(0) = 8 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(0) =
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