27 This question has two parts - make sure you answer both. Consider the second order differential equation: y" - 4y + 4y = 0 (in which y is a function of t). Which of the following is the characteristic equation of this differential equation? Select one alternative: O(A-2)² = 0 O (A-3)² = 0 (A-4)² = 0 O (A-1)² = 0 Let y(t) be the solution to the differential equation y" - 4y + 4y = 0? with the initial condition y(0) = 0, y' (0) = : 1. Which of the following gives y(1)? Select one alternative e O 4e4 e²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Please help me with both parts, Thank you so much in advanced !!

27
This question has two parts - make sure you answer both.
Consider the second order differential equation: y'" - 4y + 4y = 0 (in which y is a function of t).
Which of the following is the characteristic equation of this differential equation?
Select one alternative:
O (A-2)² = 0
O (A-3)² = 0
O (A-4)² = 0
O (A − 1)² = 0
Let y(t) be the solution to the differential equation y" - 4y + 4y = 0? with the initial condition
y(0) = 0, y'(0) = 1.
Which of the following gives y(1)?
Select one alternative
O e
○ 4e4
O
O
3
Transcribed Image Text:27 This question has two parts - make sure you answer both. Consider the second order differential equation: y'" - 4y + 4y = 0 (in which y is a function of t). Which of the following is the characteristic equation of this differential equation? Select one alternative: O (A-2)² = 0 O (A-3)² = 0 O (A-4)² = 0 O (A − 1)² = 0 Let y(t) be the solution to the differential equation y" - 4y + 4y = 0? with the initial condition y(0) = 0, y'(0) = 1. Which of the following gives y(1)? Select one alternative O e ○ 4e4 O O 3
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