Solve the system of differential equations using Laplace transforms. Plot the results for y₁ (t) and y₂ (t) over the interval 0 to 10. dy₁ = 10-8(t)−2(y₁ − Y₂) dt dy2=2(y₁ - y₂)-5y₂ dt Initial Conditions: y₁ (0)= y₂ (0)=0.
Solve the system of differential equations using Laplace transforms. Plot the results for y₁ (t) and y₂ (t) over the interval 0 to 10. dy₁ = 10-8(t)−2(y₁ − Y₂) dt dy2=2(y₁ - y₂)-5y₂ dt Initial Conditions: y₁ (0)= y₂ (0)=0.
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:Solve the system of differential equations using Laplace transforms. Plot the results for
y₁ (t) and y₂ (t) over the interval 0 to 10.
dy₁ = 10-8(t) – 2(y₁ − Y2)
dt
dy2=2(y₁ - y₂)-5y₂
dt
Initial Conditions:
y₁ (0)= y₂ (0)=0.
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Why is Y1 not multiplied by 2/(s+7) when solving for Y2
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