Q4: Using Laplace transforms, solve the one of -2 dy² = 1 = y₁ + y² (a) di (b) di 3 dydy2=y₂-e¹ + di dt dy following sets of linear differential equations: y₁(0) = 1 y (0) = 2 Yı(0) = 0 Y₂(0) = 0 - - y₁ + 2y₂ = 2 sin ! di dy₂ +2y₁5y₁-3y₂ = 1-e-0.16 dt dt
Q4: Using Laplace transforms, solve the one of -2 dy² = 1 = y₁ + y² (a) di (b) di 3 dydy2=y₂-e¹ + di dt dy following sets of linear differential equations: y₁(0) = 1 y (0) = 2 Yı(0) = 0 Y₂(0) = 0 - - y₁ + 2y₂ = 2 sin ! di dy₂ +2y₁5y₁-3y₂ = 1-e-0.16 dt dt
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:Q4: Using Laplace transforms, solve the one of following sets of linear differential equations:
dy₁
(a)
yı(0) = 1
di
(b)
1-2 dy² = 1 = y ₁ + y₂
di
3 dy dy₂
+
dt dt
dy
di
dy₂
dt
- V₁ + 2y2=2 sin /
-2
+
= Y/₂-e²¹
dy₁
dt
·5y₁-3y₂=1e-0.11
y,(0) = 2
Yı(0) = 0
Y₂(0) = 0
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