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Consider the following initial value problem: y (4) + 25y" + 144y = 1 − u(t); y(0) = 0, y'(0) = 0, y"(0) = 0, y" (0) = 0; (a) Sketch the graph of the forcing function on an appropriate interval. 1 y(t): st = 0.8 0.6 0.4 8 (b) Find the solution of the given initial value problem. NOTE: Denote the Heaviside function by uc(t) where uc (t) = 1 if t≥c and 0 otherwise. Indicate separately the value of c. 0.2 10 12

Consider the following initial value problem: y (4) + 25y" + 144y = 1 − u(t); y(0) = 0, y'(0) = 0, y"(0) = 0, y" (0) = 0; (a) Sketch the graph of the forcing function on an appropriate interval. 1 y(t): st = 0.8 0.6 0.4 8 (b) Find the solution of the given initial value problem. NOTE: Denote the Heaviside function by uc(t) where uc (t) = 1 if t≥c and 0 otherwise. Indicate separately the value of c. 0.2 10 12

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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Consider the following initial value problem: y (4) + 25y" + 144y = 1 — u(t); y(0) = 0, y'(0) = 0, y"(0) = 0, y""(0) = 0; (a) Sketch the graph of the forcing function on an appropriate interval. y(t) = 1 where c = 0.8 0.6 2 6 8 (b) Find the solution of the given initial value problem. NOTE: Denote the Heaviside function by uc(t) where uc(t) = 1 if t≥c and 0 otherwise. Indicate separately the value of c. 0.4 0.2 10 12
Transcribed Image Text:Consider the following initial value problem: y (4) + 25y" + 144y = 1 — u(t); y(0) = 0, y'(0) = 0, y"(0) = 0, y""(0) = 0; (a) Sketch the graph of the forcing function on an appropriate interval. y(t) = 1 where c = 0.8 0.6 2 6 8 (b) Find the solution of the given initial value problem. NOTE: Denote the Heaviside function by uc(t) where uc(t) = 1 if t≥c and 0 otherwise. Indicate separately the value of c. 0.4 0.2 10 12
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