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Solve the equation y" + y = f(t), y(0) = 0, y'(0) = 1 1 0

Solve the equation y" + y = f(t), y(0) = 0, y'(0) = 1 1 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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Solve the equation y" + y = f(t), y(0) = 0, y'(0) = 1 1 0<t<T/2 1-e-(n/2) s F(s) = where f(t) = T/2st<o y(t) = 1– cost + sint – u(t – 1/2)(1– sint) b. y(t) = cost +µ(t – 1/2)(1- sint(t – 1/2) y(t) = 1- sint + - H(t – 1/2)(1 - cos(t – T/2) d. y(t) = sint - cost - u(t – 1/2)(1- sin(t – 1/2) + cos(t – T1/2)) a. C.
Transcribed Image Text:Solve the equation y" + y = f(t), y(0) = 0, y'(0) = 1 1 0<t<T/2 1-e-(n/2) s F(s) = where f(t) = T/2st<o y(t) = 1– cost + sint – u(t – 1/2)(1– sint) b. y(t) = cost +µ(t – 1/2)(1- sint(t – 1/2) y(t) = 1- sint + - H(t – 1/2)(1 - cos(t – T/2) d. y(t) = sint - cost - u(t – 1/2)(1- sin(t – 1/2) + cos(t – T1/2)) a. C.
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