-().Y0) - (:) 1 Given the initial value problem dt whose matrix has a repeated 4 -5 eigenvalue A = - 3, find the general solution in terms of the initial conditions. Write your solution in component form where Y (t) = ( ). Your answers should have the variables p 3t as (2p-q)"te^(-3t). Please note the * in this and q in them. Enter an answer like (2p – q)te expression! Be sure to PREVIEW your answers before submitting! x(t) y(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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can someone explain this for me, please ?

-(). Ym - (:)
1
Given the initial value problem
dt
whose matrix has a repeated
4 -5
eigenvalue A = - 3, find the general solution in terms of the initial conditions.
your solution in component form where Y (t) = ().
Your answers should have the variables p
and q in them. Enter an answer like (2p – q)te
expression!
as (2p-q)"te^(-3t). Please note the * in this
Be sure to PREVIEW your answers before submitting!
x(t) =
y(t)
Transcribed Image Text:-(). Ym - (:) 1 Given the initial value problem dt whose matrix has a repeated 4 -5 eigenvalue A = - 3, find the general solution in terms of the initial conditions. your solution in component form where Y (t) = (). Your answers should have the variables p and q in them. Enter an answer like (2p – q)te expression! as (2p-q)"te^(-3t). Please note the * in this Be sure to PREVIEW your answers before submitting! x(t) = y(t)
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