-4y"" + 5y" - 5y' − 3y = 0 with y(0) = -3, y'(0) = 3, y"(0) = 2. Taking the Laplace transform and solving for L(y) yields: -8s² + 3s +12 -45³+ 5s²-5s-3 Consider the differential equation L(y) F(s) where F(s) = Note: don't forget to substitute your initial conditions.
-4y"" + 5y" - 5y' − 3y = 0 with y(0) = -3, y'(0) = 3, y"(0) = 2. Taking the Laplace transform and solving for L(y) yields: -8s² + 3s +12 -45³+ 5s²-5s-3 Consider the differential equation L(y) F(s) where F(s) = Note: don't forget to substitute your initial conditions.
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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