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Solve the following inifial value problems using the method of Laplace fransform. Solve: When: a) y- 6y + 9y = tet y(0) = 2, y' (0) = -1 %3D

Solve the following inifial value problems using the method of Laplace fransform. Solve: When: a) y- 6y + 9y = tet y(0) = 2, y' (0) = -1 %3D

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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Solve the following initial value problems using the method of Laplace transform. Solve: When: y -y +3y - 5y = -6e-t c) d) a) y"- 6y + 9y tet b) y(0) = 2, y'(0) =-1 y(0) = 1, y'(0) = 2, y"(0) = -4 y(0) = 1, y' (0) = 4 4y + 4y = 6te2t + 25 cos(t) - y - 2y + y = (t – 1)e-(t-1)s(t – 1) y(0) = 0, y (0) = 1 %3D e) y" + 3y"+7y'+5y=16e*cos(2t) y(0)=2,y'(0)= - 4,y"(0) = -2
Transcribed Image Text:Solve the following initial value problems using the method of Laplace transform. Solve: When: y -y +3y - 5y = -6e-t c) d) a) y"- 6y + 9y tet b) y(0) = 2, y'(0) =-1 y(0) = 1, y'(0) = 2, y"(0) = -4 y(0) = 1, y' (0) = 4 4y + 4y = 6te2t + 25 cos(t) - y - 2y + y = (t – 1)e-(t-1)s(t – 1) y(0) = 0, y (0) = 1 %3D e) y" + 3y"+7y'+5y=16e*cos(2t) y(0)=2,y'(0)= - 4,y"(0) = -2
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