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In Problem 15-16 verify that the given two-parameter family of functions is the general solution of the nonhomogeneous DE on the indicated interval. 15. y'-7y'+10y= 24e*; y = c,e²* + c,e* +6e*,(-∞,0)

In Problem 15-16 verify that the given two-parameter family of functions is the general solution of the nonhomogeneous DE on the indicated interval. 15. y'-7y'+10y= 24e*; y = c,e²* + c,e* +6e*,(-∞,0)

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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In Problem 15-16 verify that the given two-parameter family of functions is the general solution of the nonhomogeneous DE on the indicated interval. 15. y"-7y'+10y= 24e*; y = c,e²* +c,e* +6e*,(- ∞,00) 16. y"+y = sec x; y = c¡ cos x + c, sin x+ xsin x+ (cos x)ln(cos.x), (– x / 2, 7 / 2)
Transcribed Image Text:In Problem 15-16 verify that the given two-parameter family of functions is the general solution of the nonhomogeneous DE on the indicated interval. 15. y"-7y'+10y= 24e*; y = c,e²* +c,e* +6e*,(- ∞,00) 16. y"+y = sec x; y = c¡ cos x + c, sin x+ xsin x+ (cos x)ln(cos.x), (– x / 2, 7 / 2)
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