Directions: Consider the following differential equation and function: Differential Equation: y' - 2ty = 7t Function: f(t)=et – 1 2 1. Determine if the function f(t) is a solution of the differential equation. • The function f(t) is or is not a solution? 2. As part of your work, calculate the following: f'(t) = • 2t. f(t) =
Directions: Consider the following differential equation and function: Differential Equation: y' - 2ty = 7t Function: f(t)=et – 1 2 1. Determine if the function f(t) is a solution of the differential equation. • The function f(t) is or is not a solution? 2. As part of your work, calculate the following: f'(t) = • 2t. 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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 17E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Transcribed Image Text:Directions: Consider the following differential equation and function:
Differential Equation: y' - 2ty = 7t
1. Determine if the function f(t) is a solution of the differential equation.
The function f(t) is or is not a solution?
2. As part of your work, calculate the following:
●
• fi(t) =
●
●
2t · f(t) =
=
Function: f(t) = etª - 1
2
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