Directions: Consider the following differential equation and function: Differential Equation: (8-3t²)y" - 2ty' + 2y = 0 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) = ● ● ● f"(t) = Function: f(t) = t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Directions: Consider the following differential equation and function:
Differential Equation: (8-3t²)y" - 2ty' + 2y = 0
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) =
•f"(t) =
Function:
f(t) = t
Transcribed Image Text:Directions: Consider the following differential equation and function: Differential Equation: (8-3t²)y" - 2ty' + 2y = 0 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) = •f"(t) = Function: f(t) = t
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