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In Problems 31-34 verify that the given two-parameter fam- ily of functions is the general solution of the nonhomoge- neous differential equation on the indicated interval. 31. y" - 7y' + 10y = 24e*; y = cje2x + c2ex+ 6e*, (-o, ) 32. y" + y = sec x;

In Problems 31-34 verify that the given two-parameter fam- ily of functions is the general solution of the nonhomoge- neous differential equation on the indicated interval. 31. y" - 7y' + 10y = 24e*; y = cje2x + c2ex+ 6e*, (-o, ) 32. y" + y = sec x;

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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O Tell me what you want to do.. Find *- 4 D From Scanner A Link File nt Blank Bookmark e Image Annotation PDF From Clipboard Audio & Video Sign Create Protect Links Insert Convert To and From P nis 30. y(4) + y" = 0; 1, x, cos x, sin x, (-o, 0) ary 4.1.3 NONHOMOGENEOUS EQUATIONS are In Problems 31-34 verify that the given two-parameter fam- ily of functions is the general solution of the nonhomoge- neous differential equation on the indicated interval. of suC 31. y" – 7y' + 10y = 24e*; y = cje2x + cze5x + 6e*, (-∞, 0) is a rval n be 32. y" + y = sec x; y = c1 cos x + c2 sin x+x sin x + (cos x) In(cos x), (-1/2, 1/2) 33. y"- 4y' + 4y = 2e2* + 4x – 12; y = cje2* + c2xe² + x²e2* + x – 2, (–∞, ∞) -1 34. 2x2y" + 5xy' + y = x² – x; y = cx=V2 + C,xl+ -, (0, ∞) ト I>临 1/2 0. 日 明非161.86% ▼ 426
Transcribed Image Text:O Tell me what you want to do.. Find *- 4 D From Scanner A Link File nt Blank Bookmark e Image Annotation PDF From Clipboard Audio & Video Sign Create Protect Links Insert Convert To and From P nis 30. y(4) + y" = 0; 1, x, cos x, sin x, (-o, 0) ary 4.1.3 NONHOMOGENEOUS EQUATIONS are In Problems 31-34 verify that the given two-parameter fam- ily of functions is the general solution of the nonhomoge- neous differential equation on the indicated interval. of suC 31. y" – 7y' + 10y = 24e*; y = cje2x + cze5x + 6e*, (-∞, 0) is a rval n be 32. y" + y = sec x; y = c1 cos x + c2 sin x+x sin x + (cos x) In(cos x), (-1/2, 1/2) 33. y"- 4y' + 4y = 2e2* + 4x – 12; y = cje2* + c2xe² + x²e2* + x – 2, (–∞, ∞) -1 34. 2x2y" + 5xy' + y = x² – x; y = cx=V2 + C,xl+ -, (0, ∞) ト I>临 1/2 0. 日 明非161.86% ▼ 426
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