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Use Laplace transforms to solve the following differential equations. a) + 5y = 3 , given that y = 1 when t = 0

Use Laplace transforms to solve the following differential equations. a) + 5y = 3 , given that y = 1 when t = 0

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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Use Laplace transforms to solve the following differential equations. a) dy given that y = 1 when t = 0 dt b) d?y + 5y = 2t, dy 1 when t = 0 dt given that y = 0 and dt2 c) Briefly discuss how the substitution s = juw may be used to characterise, and optionally display, the frequency response of a system whose transfer function is an expression in the s-domain.
Transcribed Image Text:Use Laplace transforms to solve the following differential equations. a) dy given that y = 1 when t = 0 dt b) d?y + 5y = 2t, dy 1 when t = 0 dt given that y = 0 and dt2 c) Briefly discuss how the substitution s = juw may be used to characterise, and optionally display, the frequency response of a system whose transfer function is an expression in the s-domain.
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