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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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
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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