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) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdec3a662-69a9-4ede-8651-257d319713a0%2F1370f7ce-11db-461d-a536-b0b01c02d341%2F0xmjvf_processed.jpeg&w=3840&q=75)
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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