dY Given the initial value problem dt 2-1 d. whose matrix has a repeated %3D eigenvalue A = 1, find the general solution in terms of the initial conditions. x(t) form where Y(t) = ()- Write solution in component Your answers should have the variables p your and a in them. Enter an answer like (2p – g)te-3t as (2p-q)*te^(-3t). Please note the * in this expression!
dY Given the initial value problem dt 2-1 d. whose matrix has a repeated %3D eigenvalue A = 1, find the general solution in terms of the initial conditions. x(t) form where Y(t) = ()- Write solution in component Your answers should have the variables p your and a in them. Enter an answer like (2p – g)te-3t as (2p-q)*te^(-3t). Please note the * in this expression!
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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How to solve this problem its

Transcribed Image Text:2 -1
Given the initial value problem
dt
CỸ,Ÿ(0) = (P) whose matrix has a repeated
- 4
eigenvalue A = - 1, find the general solution in terms of the initial conditions.
= ().
x(t)
Your answers should have the variables p
y(t) )*
Write your solution in component form where Y(t)
and q in them. Enter an answer like (2p – q)te-3t as (2p-q)*te^(-3t). Please note the * in this expression!
|
Be sure to PREVIEW your answers before submitting!
x(t) =
y(t) =
x(t) Preview:
y(t) Preview:
Expert Solution
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Step 1
Given differential equation is,
So, the characteristics equation of the given differential equation is,
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