(a) (4 Points) Sove the IVP y" + 2y + 2y = 0, y(0) = 1; y'(0) = 0. noitsupit lolinssia SSOS LA |y(t) = (4 Points) Now solve the perturbed system y"+2y' +2y = 8(t-1) with respect to initial conditions y(0) = 1, y'(0) = 0. (1)xo (alio 2) (d)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. (a) (4 Points) Sove the IVP y" + 2y + 2y = 0, y(0) = 1; y'(0) = 0. enoitsup loinsonic
SSOS LA
log of sub Jolens ber bien o p uroda
holtond novis a
y(t) =
|y(t) =
od ovreb 10 li7 I
(5) JoI (inio $) (s)
(b) (4 Points) Now solve the perturbed system y"+2y' +2y = 8(t-1) with respect to initial conditions
y(0) = 1, y'(0) = 0.
= (1)x tod (aluio¶ 9) (d)
Transcribed Image Text:2. (a) (4 Points) Sove the IVP y" + 2y + 2y = 0, y(0) = 1; y'(0) = 0. enoitsup loinsonic SSOS LA log of sub Jolens ber bien o p uroda holtond novis a y(t) = |y(t) = od ovreb 10 li7 I (5) JoI (inio $) (s) (b) (4 Points) Now solve the perturbed system y"+2y' +2y = 8(t-1) with respect to initial conditions y(0) = 1, y'(0) = 0. = (1)x tod (aluio¶ 9) (d)
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