Consider the initial value problem y'' + y' – 20y = 0, y(0) = a, y'(0) = 5 Find the value of a so that the solution to the initial value problem approaches zero as t → o0 a =
Consider the initial value problem y'' + y' – 20y = 0, y(0) = a, y'(0) = 5 Find the value of a so that the solution to the initial value problem approaches zero as t → o0 a =
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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Transcribed Image Text:Consider the initial value problem
y'' + y' – 20y = 0, y(0)
= a, y'(0) = 5
Find the value of a so that the solution to the initial value problem approaches zero as t → o
a =
Expert Solution
Step 1
The given problem is to solve the given differential equation and also to find the value of alpha when the solution approaches zero as t -> infinity.
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