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Solve the initial value problem. y" – 2y + 2y = e; y(0) = 0, y'(0) = 4 %3D Chapter 6, Section 6.2, Go Tutorial Problem 16 Find Y(s). 4 1 + s2 – 2s + 2 Y(s) s + 1 4 Y(s) = (s +1) (s² – 2s + 2) 4 Y(s) = (s +1) (s² – 2s + 2) s2 – 2s + 2 1 4 Y(s) = + (s + 1)(s² – 2s + 2) ' s² – 2s + 2 1 4 Y(s) s +1 s2 – 2s + 2

Solve the initial value problem. y" – 2y + 2y = e; y(0) = 0, y'(0) = 4 %3D Chapter 6, Section 6.2, Go Tutorial Problem 16 Find Y(s). 4 1 + s2 – 2s + 2 Y(s) s + 1 4 Y(s) = (s +1) (s² – 2s + 2) 4 Y(s) = (s +1) (s² – 2s + 2) s2 – 2s + 2 1 4 Y(s) = + (s + 1)(s² – 2s + 2) ' s² – 2s + 2 1 4 Y(s) s +1 s2 – 2s + 2

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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Solve the initial value problem. y" – 2y' + 2y = e; y(0) = 0, y (0) = 4 Chapter 6, Section 6.2, Go Tutorial Problem 16 Find Y(s). 1 + s +1 4 Y(s) = s2 – 2s + 2 4 Y(s) = (s +1) (s² – 2s + 2) 1 4 Y(s) = (s+ 1) (s² – 2s + 2) s2 – 2s + 2 1 4 Y(s) = (s+1)(s² – 2s + 2) + s2 – 2s + 2 4 Y(s) = s+ 1 s2 – 2s + 2
Transcribed Image Text:Solve the initial value problem. y" – 2y' + 2y = e; y(0) = 0, y (0) = 4 Chapter 6, Section 6.2, Go Tutorial Problem 16 Find Y(s). 1 + s +1 4 Y(s) = s2 – 2s + 2 4 Y(s) = (s +1) (s² – 2s + 2) 1 4 Y(s) = (s+ 1) (s² – 2s + 2) s2 – 2s + 2 1 4 Y(s) = (s+1)(s² – 2s + 2) + s2 – 2s + 2 4 Y(s) = s+ 1 s2 – 2s + 2
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