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4. Use the method of variation of parameters to find the general solution of the equation

4. Use the method of variation of parameters to find the general solution of the equation

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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4. Use the method of variation of parameters to find the general solution of the equation • Consider the equations y"+ p(1)y' +q(1)y = g(1) y"+ p(1)y+q(1)y = 0 • If the functions p, q and g are continuous on an open interval and if y, and y, are fundamental solutions to Eq. (2), then a particular solution of Eq. (1) is (1) (2) y,Og() Yの=-yの0g) -dt and the general solution is 0=Gy(の+G,0+Y)
Transcribed Image Text:4. Use the method of variation of parameters to find the general solution of the equation • Consider the equations y"+ p(1)y' +q(1)y = g(1) y"+ p(1)y+q(1)y = 0 • If the functions p, q and g are continuous on an open interval and if y, and y, are fundamental solutions to Eq. (2), then a particular solution of Eq. (1) is (1) (2) y,Og() Yの=-yの0g) -dt and the general solution is 0=Gy(の+G,0+Y)
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