3. Solve the differential equation (a) r" - 91 = 5e²t (d) I" - I' = 8e²t (g) I" - I' = 6 sint (b) r" - 9x = 9t² (e) r" - r' = 8et (h) r" + 9x = 6e³t (c) I" — 91 = 12e 3t (f) I" - I' = 9 - 4t (1) " + 9x = 6 cos 3t

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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A,B,C
3. Solve the differential equation
(a) r" - 91 = 5e2t
(d) I" - I' = 8e²t
(g) I" - I' = 6 sint
(b) r" - 9x = 9t²
(e) r" - r' = 8et
(h) r" +9x = 6e³t
12e 3t
at (c) I" —- 91 =
(f) I" - I' = 9 - 4t
(1) " + 9x = 6 cos 3t
Transcribed Image Text:3. Solve the differential equation (a) r" - 91 = 5e2t (d) I" - I' = 8e²t (g) I" - I' = 6 sint (b) r" - 9x = 9t² (e) r" - r' = 8et (h) r" +9x = 6e³t 12e 3t at (c) I" —- 91 = (f) I" - I' = 9 - 4t (1) " + 9x = 6 cos 3t
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