The solution of y" = 8(t – 1) – 6(t – 3), y(0) = y'(0) = 0 is y(t) = %3D (A) (t- 3)[u(t - 1) - u(t- 3)] (B) tu(t- 1) - u(t- 3)] (C) (t- 1)[u(t-1) – u(t – 3)] | (D) (t – 1)u(t – 1) – (t – 3)u(t - 3) | (E) (t – 1)²u(t– 1) – (t – 3)²u(t - 3)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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The solution of y" = 6(t – 1) – 8(t – 3), y(0) = y'(0) = 0
is y(t) =
(A) (t-3) u(t- 1) – u(t - 3)]
(B) t[u(t – 1) – u(t – 3)]
(C) (t- 1)[u(t- 1)- u(t- 3)]
(D) (t – 1)u(t – 1) – (t – 3)u(t – 3)
(E) (t – 1)²u(t - 1) – (t – 3)²u(t – 3)
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Transcribed Image Text:The solution of y" = 6(t – 1) – 8(t – 3), y(0) = y'(0) = 0 is y(t) = (A) (t-3) u(t- 1) – u(t - 3)] (B) t[u(t – 1) – u(t – 3)] (C) (t- 1)[u(t- 1)- u(t- 3)] (D) (t – 1)u(t – 1) – (t – 3)u(t – 3) (E) (t – 1)²u(t - 1) – (t – 3)²u(t – 3) 32°C Mostly sunny DELL prt sc home end insert delete F6 F7 F8 F9 F10 F11 F12 & 6 7 8. backspace
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