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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
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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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
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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