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6. Use Laplace transform to find the solution of the initial value problem. (a) y" +4y' + 4y = 0; (b) y(4)-4y=0; y(0) = 0, y(0) = 1, y'(0) = 1 y'(0) = 1, y"(0) = 0, y" (0) = 2 1 (c) y″ − 2y' + y = u(t); (d) y″ – 4y = 8(t − 1); MATH 3360: Differential Ed y(0) = 1, y'(0) = 0 y(0) = 0, y'(0) = 0 (e) y"-2y+2y=8(t-π); y(0) = 0, y'(0) = 1

6. Use Laplace transform to find the solution of the initial value problem. (a) y" +4y' + 4y = 0; (b) y(4)-4y=0; y(0) = 0, y(0) = 1, y'(0) = 1 y'(0) = 1, y"(0) = 0, y" (0) = 2 1 (c) y″ − 2y' + y = u(t); (d) y″ – 4y = 8(t − 1); MATH 3360: Differential Ed y(0) = 1, y'(0) = 0 y(0) = 0, y'(0) = 0 (e) y"-2y+2y=8(t-π); y(0) = 0, y'(0) = 1

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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6. Use Laplace transform to find the solution of the initial value problem. (a) y" +4y' + 4y = 0; (b) y(4)-4y=0; y(0) = 0, y(0) = 1, y'(0) = 1 y'(0) = 1, y"(0) = 0, y" (0) = 2 1
Transcribed Image Text:6. Use Laplace transform to find the solution of the initial value problem. (a) y" +4y' + 4y = 0; (b) y(4)-4y=0; y(0) = 0, y(0) = 1, y'(0) = 1 y'(0) = 1, y"(0) = 0, y" (0) = 2 1
(c) y″ − 2y' + y = u(t); (d) y″ – 4y = 8(t − 1); MATH 3360: Differential Ed y(0) = 1, y'(0) = 0 y(0) = 0, y'(0) = 0 (e) y"-2y+2y=8(t-π); y(0) = 0, y'(0) = 1
Transcribed Image Text:(c) y″ − 2y' + y = u(t); (d) y″ – 4y = 8(t − 1); MATH 3360: Differential Ed y(0) = 1, y'(0) = 0 y(0) = 0, y'(0) = 0 (e) y"-2y+2y=8(t-π); y(0) = 0, y'(0) = 1
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