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Consider the initial value problem y" + y = fk (t), y(0) = 0, y'(0) = 0,

Consider the initial value problem y" + y = fk (t), y(0) = 0, y'(0) = 0,

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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where U₁−k(t) — U₁+k(t) 2k a. Find the solution y = o(t, k) of the initial value problem. b. Calculate c. Observe that Consider the initial value problem y″ + y = fk(t), y(0) = 0, y'(0) = 0, d. Is it true that fk (t) = lim o(t, k). k→0 lim fk(t) = 8(t – 4). k→0 Find the solution po(t) of the given initial value problem with f(t) replaced by 8(t - 4). po(t) = lim o(t, k)? k→0 0 <k < 1. 2
Transcribed Image Text:where U₁−k(t) — U₁+k(t) 2k a. Find the solution y = o(t, k) of the initial value problem. b. Calculate c. Observe that Consider the initial value problem y″ + y = fk(t), y(0) = 0, y'(0) = 0, d. Is it true that fk (t) = lim o(t, k). k→0 lim fk(t) = 8(t – 4). k→0 Find the solution po(t) of the given initial value problem with f(t) replaced by 8(t - 4). po(t) = lim o(t, k)? k→0 0 <k < 1. 2
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