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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,

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 13E: Repeat the instruction of Exercise 11 for the function. f(x)=x3+x For part d, use i. a1=0.1 ii...
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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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