The function y(t) is a solution of the initial value problem y' + ay' + by = 0, y(to) = Yo, y (f,) =yo, where the point t, is specified. Determine the constants a, b. yo, and yo. 13. y(1) = sint – /2 cost, to = /4 14. y(t) = 2 sin 2t + cos 2t, to = 1/4 15. y(t) = e-" cost –e sint, t = 0 16. y(1) = e'¬/6 cos 2t – e-/6 sin 2t, to = 1/6 17. y(t) = /3 coS nt – sin at, t, = 1/2 18. y(1) = /2 cos(2t – 7/4). 1o = 0
The function y(t) is a solution of the initial value problem y' + ay' + by = 0, y(to) = Yo, y (f,) =yo, where the point t, is specified. Determine the constants a, b. yo, and yo. 13. y(1) = sint – /2 cost, to = /4 14. y(t) = 2 sin 2t + cos 2t, to = 1/4 15. y(t) = e-" cost –e sint, t = 0 16. y(1) = e'¬/6 cos 2t – e-/6 sin 2t, to = 1/6 17. y(t) = /3 coS nt – sin at, t, = 1/2 18. y(1) = /2 cos(2t – 7/4). 1o = 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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section 3.5
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