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Find a general solution to the following higher-order equations. (a) y'"-5y'' + 5y + 11y=0) (b) y + 5y + 4y' - 10y = 0 (c) y + 20y" + 64y = 0 *** (a) What are the roots of the auxiliary equation? The roots are -1,3+ i√√2,3-i√√2. (Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.) What is the general solution? y(t) = (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)

Find a general solution to the following higher-order equations. (a) y'"-5y'' + 5y + 11y=0) (b) y + 5y + 4y' - 10y = 0 (c) y + 20y" + 64y = 0 *** (a) What are the roots of the auxiliary equation? The roots are -1,3+ i√√2,3-i√√2. (Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.) What is the general solution? y(t) = (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)

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 general solution to the following higher-order equations. (a) y'"-5y'' + 5y + 11y=0) (b) y + 5y + 4y' - 10y = 0 (c) y + 20y" + 64y = 0 *** (a) What are the roots of the auxiliary equation? The roots are -1,3+ i√√2,3-i√√2. (Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.) What is the general solution? y(t) = (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)
Transcribed Image Text:Find a general solution to the following higher-order equations. (a) y'"-5y'' + 5y + 11y=0) (b) y + 5y + 4y' - 10y = 0 (c) y + 20y" + 64y = 0 *** (a) What are the roots of the auxiliary equation? The roots are -1,3+ i√√2,3-i√√2. (Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.) What is the general solution? y(t) = (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)
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