In Exercises 8-13, solve the given initial-value problem. dy 9. +9yus(t), y(0) = -2 dt dy 8. =u₂(t), y(0) = 3 dt dy 10. +7y=u₂(t), y(0) = 3 dt dy 12. =-y+2u3(1), y(0)=4 dt dy 11. =-y+u₂(t)e-2(1-2), y(0) = 1 dt dy 13. =-y+u₁(t) (t-1), y(0)=2 dt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T
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Help please ! Help with 9 & 13
In Exercises 8-13, solve the given initial-value problem.
dy
9. +9yus(t), y(0) = -2
dt
dy
8. =u₂(t), y(0) = 3
dt
dy
10. +7y=u2(t), y(0) = 3
dt
dy
12.
=-y+2u3(1), y(0) = 4
11.
dy
dt
2, y(0) = 1
=-y+u₂(t)e-2(1-2),
dy
13. =-y+u₁(t) (t-1), y(0) = 2
dt
Transcribed Image Text:In Exercises 8-13, solve the given initial-value problem. dy 9. +9yus(t), y(0) = -2 dt dy 8. =u₂(t), y(0) = 3 dt dy 10. +7y=u2(t), y(0) = 3 dt dy 12. =-y+2u3(1), y(0) = 4 11. dy dt 2, y(0) = 1 =-y+u₂(t)e-2(1-2), dy 13. =-y+u₁(t) (t-1), y(0) = 2 dt
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