Suppose that ye cos Bx is a solution of y-y +ay -9y =0 where a and B are real constants Then the general solution of the above equation is Oav-C, e"+2 e cos Ex+c, e* sin /2x Obv=Ce+c e* cos 3x +c, e* sin 3x Ocv= e"+c e* cos 2x +cj e* sin 2x Ouv-Ce+Ce cos 2x+ce* sin V2x Ov-Ce"+c, e cos 2x + C e* sin 2x
Suppose that ye cos Bx is a solution of y-y +ay -9y =0 where a and B are real constants Then the general solution of the above equation is Oav-C, e"+2 e cos Ex+c, e* sin /2x Obv=Ce+c e* cos 3x +c, e* sin 3x Ocv= e"+c e* cos 2x +cj e* sin 2x Ouv-Ce+Ce cos 2x+ce* sin V2x Ov-Ce"+c, e cos 2x + C e* sin 2x
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 75E
Related questions
Question
![Suppose that y-e* cos Bx is a solution of y-y +ay -9y =0 where a and B are real constants, Then the general solution of the
above equation is
Oav=C, e"+c2 e* cos VZx+c, e* sin 2x
ObV=Ce 3*+c e cos 3x + c, e* sin 3x
Ocv=C, e+c e"* cos 2x + cj e* sin 2x
Odv=Ce*+cy e* cos Zx+c e* sin VEx
Ov-Ce+C e cos 2x + C, e* sin 2x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F50628bcb-336c-4d2d-99ad-096978624ca4%2F54261eb2-3926-4d1a-9072-c91b4fd8df03%2Fu54my0w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that y-e* cos Bx is a solution of y-y +ay -9y =0 where a and B are real constants, Then the general solution of the
above equation is
Oav=C, e"+c2 e* cos VZx+c, e* sin 2x
ObV=Ce 3*+c e cos 3x + c, e* sin 3x
Ocv=C, e+c e"* cos 2x + cj e* sin 2x
Odv=Ce*+cy e* cos Zx+c e* sin VEx
Ov-Ce+C e cos 2x + C, e* sin 2x
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