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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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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