2. Use Eigenvalue method to find the general solution of the given system dx a. dx dt dy dt 3 214 5 =-X- + 2y 2y b. 11 | | | dt dt dt 3x + 2y + 4z = 2x + 2z = 4x + 2y + 3z

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 34CR
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2. Use Eigenvalue method to find the general solution of the given system
dx
dx
5
x + 2y
3x + 2y + 4z
dt
a.
dt
b.
dy
2x + 2z
dt
dy
3
- 2y
== r-
dt
4
dz
4x + 2y + 3z
dt
Transcribed Image Text:2. Use Eigenvalue method to find the general solution of the given system dx dx 5 x + 2y 3x + 2y + 4z dt a. dt b. dy 2x + 2z dt dy 3 - 2y == r- dt 4 dz 4x + 2y + 3z dt
3. Use the Laplace transform to solve the given differential equation.
x' - 2x - 4y = 4,
y' + 2x + 2y
= t,
x(0) = 3, y(0) = 1.
%3D
Transcribed Image Text:3. Use the Laplace transform to solve the given differential equation. x' - 2x - 4y = 4, y' + 2x + 2y = t, x(0) = 3, y(0) = 1. %3D
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,