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Find a formula involving integrals for a particular solution of the differential equation y" - 15y" + 75y' - 125y = g(t). A formula for the particular solution is: Y(t) = f* g(s)e5(t-s) (st)² 2 If g(t) = test, determine Y(t). (5-t)² s² Y(t) = 5t-4s 2 ds ds

Find a formula involving integrals for a particular solution of the differential equation y" - 15y" + 75y' - 125y = g(t). A formula for the particular solution is: Y(t) = f* g(s)e5(t-s) (st)² 2 If g(t) = test, determine Y(t). (5-t)² s² Y(t) = 5t-4s 2 ds ds

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find a formula involving integrals for a particular solution of the differential equation y"" - 15y" + 75y' - 125y = g(t). A formula for the particular solution is: t 1² *g(s) e(t-s) (st)² ds 2 Y(t) = If g(t) = test, determine y(t). e5t-4s 2 Y(t) = (5-t) s² ds
Transcribed Image Text:Find a formula involving integrals for a particular solution of the differential equation y"" - 15y" + 75y' - 125y = g(t). A formula for the particular solution is: t 1² *g(s) e(t-s) (st)² ds 2 Y(t) = If g(t) = test, determine y(t). e5t-4s 2 Y(t) = (5-t) s² ds
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