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36. Y(t)-Y(t) = et, Y(0) = 0, Y'(0) = 0, √ "(0) = 0. 51/3 √3)

36. Y(t)-Y(t) = et, Y(0) = 0, Y'(0) = 0, √ "(0) = 0. 51/3 √3)

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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36. Y"(t)-Y(t)= Ans. Y(t) = et, Y(0) = 0, Y'(0) = 0, "(0) = 0. √3 5√3 the 18t{0. 1st (0 con Vat + 5V³ sin Vat) - 2 tet+e-t9 cos- √/³₁} - tel 37. y(t) + 2Y"(t) + Y(t) = sin t, Y(0) = Y'(0) = Y"(0) = Y(0) = 0. Ans. Y(t) = {(3-1²) sin t (3-12) sint - 3t cos t}
Transcribed Image Text:36. Y"(t)-Y(t)= Ans. Y(t) = et, Y(0) = 0, Y'(0) = 0, "(0) = 0. √3 5√3 the 18t{0. 1st (0 con Vat + 5V³ sin Vat) - 2 tet+e-t9 cos- √/³₁} - tel 37. y(t) + 2Y"(t) + Y(t) = sin t, Y(0) = Y'(0) = Y"(0) = Y(0) = 0. Ans. Y(t) = {(3-1²) sin t (3-12) sint - 3t cos t}
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