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What is the form of a particular solution of the following nonhomogeneous differential equation? y(4) + 8y" +16y = All capital letters in the choices represent arbitrary real constants. T 7 cos 21+ 1/1 ○ (At² + Bt + C) cos 2t + (Dt² + Et + F) sin 2t + Gt + H O (At + B) cos 2t + (Ct + D) sin 2t + Et + F O (At+ B) cos 2t+ (Ct + D) sin 2t + Et A cos 2t+ B sin 2t + Ct + D O At² cos 2t+ Bt + C

What is the form of a particular solution of the following nonhomogeneous differential equation? y(4) + 8y" +16y = All capital letters in the choices represent arbitrary real constants. T 7 cos 21+ 1/1 ○ (At² + Bt + C) cos 2t + (Dt² + Et + F) sin 2t + Gt + H O (At + B) cos 2t + (Ct + D) sin 2t + Et + F O (At+ B) cos 2t+ (Ct + D) sin 2t + Et A cos 2t+ B sin 2t + Ct + D O At² cos 2t+ Bt + C

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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What is the form of a particular solution of the following nonhomogeneous differential equation? y(4) + 8y" +16y = All capital letters in the choices represent arbitrary real constants. T 7 cos 21+ 1/1 ○ (At² + Bt + C) cos 2t + (Dt² + Et + F) sin 2t + Gt + H O (At + B) cos 2t + (Ct + D) sin 2t + Et + F O (At+ B) cos 2t+ (Ct + D) sin 2t + Et A cos 2t+ B sin 2t + Ct + D O At² cos 2t+ Bt + C
Transcribed Image Text:What is the form of a particular solution of the following nonhomogeneous differential equation? y(4) + 8y" +16y = All capital letters in the choices represent arbitrary real constants. T 7 cos 21+ 1/1 ○ (At² + Bt + C) cos 2t + (Dt² + Et + F) sin 2t + Gt + H O (At + B) cos 2t + (Ct + D) sin 2t + Et + F O (At+ B) cos 2t+ (Ct + D) sin 2t + Et A cos 2t+ B sin 2t + Ct + D O At² cos 2t+ Bt + C
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