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Consider the differential equation y" - y' - 30y = 0. Verify that the functions e-5x and e6x form a fundamental set of solutions of the differential equation on the interval (-o, 0). # 0 for -o

Consider the differential equation y" - y' - 30y = 0. Verify that the functions e-5x and e6x form a fundamental set of solutions of the differential equation on the interval (-o, 0). # 0 for -o

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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Consider the differential equation y" – y' - 30y = 0. Verify that the functions e-5x and e6x form a fundamental set of solutions of the differential equation on the interval (-0, 0). The functions satisfy the differential equation and are linearly independent since the Wronskian mo-, ) - -5x e 6. + 0 for -0o < x < 0o. Form the general solution. y =
Transcribed Image Text:Consider the differential equation y" – y' - 30y = 0. Verify that the functions e-5x and e6x form a fundamental set of solutions of the differential equation on the interval (-0, 0). The functions satisfy the differential equation and are linearly independent since the Wronskian mo-, ) - -5x e 6. + 0 for -0o < x < 0o. Form the general solution. y =
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