Problem 2 For the following set of ODE's using Laplace Transform. dy₁ ៩៥៩|ម dt dyz dt +2y₁ + y₂ = 2 +y₁ + y₂ = 0 a) Solve Yı(s) and Y2(s). Then determine Y2(s). b) Solve for y(t) and y:(t) yı(0) and y:(0) are zero.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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part b

Problem 2
For the following set of ODE's using Laplace Transform.
dy₁
dt
dy2
dt
+2y₁ + y₂ = 2
+y₁ + y₂ = 0
a)
Solve Yı(s) and Y2(s). Then determine Y2(s).
b) Solve for yı(t) and y2(t)
yı(0) and y2(0) are zero.
Transcribed Image Text:Problem 2 For the following set of ODE's using Laplace Transform. dy₁ dt dy2 dt +2y₁ + y₂ = 2 +y₁ + y₂ = 0 a) Solve Yı(s) and Y2(s). Then determine Y2(s). b) Solve for yı(t) and y2(t) yı(0) and y2(0) are zero.
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