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5) (D de with constant coefficients G 6) (D-6D+9)y= Ans.: y=Ce" +C,ue" +*. 7) (D' + D)y = tan x. Ans.: y=C+C, cos x+C, sin x- Insin x-sin x.In(secx+ tan x). 8) y"+4y csc 2x. Ans.: y =C, sin 2x +C, cos 2x-xcos 2x +sin 2x.lnsin 2x. 9) (D -1)y=e* sin e + cose". Ans.: y=Ce' + Ce-e' sine".

5) (D de with constant coefficients G 6) (D-6D+9)y= Ans.: y=Ce" +C,ue" +*. 7) (D' + D)y = tan x. Ans.: y=C+C, cos x+C, sin x- Insin x-sin x.In(secx+ tan x). 8) y"+4y csc 2x. Ans.: y =C, sin 2x +C, cos 2x-xcos 2x +sin 2x.lnsin 2x. 9) (D -1)y=e* sin e + cose". Ans.: y=Ce' + Ce-e' sine".

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 69E
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Solution of non-homogeneous linear 5) (D de with constant coefficients G 6) (D-6D+9)y = Ans.: y=Ce" +Ce" +*. 7) (D' +D)y= tanx. Ans.: y=C +C, cos x+C, sin x- Insin x - sin x.In(secx + tan x). 8) y+4y= csc 2x. Ans.: y=C sin 2x +C, cos 2x -rcos2x +sin 2x.lnsin 2x. 9) (D -1)y=e* sin e + cose. Ans.: y Ce +Ce-e' sine"
Transcribed Image Text:Solution of non-homogeneous linear 5) (D de with constant coefficients G 6) (D-6D+9)y = Ans.: y=Ce" +Ce" +*. 7) (D' +D)y= tanx. Ans.: y=C +C, cos x+C, sin x- Insin x - sin x.In(secx + tan x). 8) y+4y= csc 2x. Ans.: y=C sin 2x +C, cos 2x -rcos2x +sin 2x.lnsin 2x. 9) (D -1)y=e* sin e + cose. Ans.: y Ce +Ce-e' sine"
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