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Using the Method of Undetermined Coefficients, determine the form of a particular solution to the differential equation (Do not evaluate coefficients) y”+25y=3t^3sin5t

Using the Method of Undetermined Coefficients, determine the form of a particular solution to the differential equation (Do not evaluate coefficients) y”+25y=3t^3sin5t

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 80E
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Using the Method of Undetermined Coefficients, determine the form of a particular solution to the differential equation (Do not evaluate coefficients) y”+25y=3t^3sin5t
Write the fom of a particular solution. Choose the correct answer below. O A. Y,)=t(Ag+AzP +A,t+A) cos 5t+t(B, +B, +B,t+B,) sin 5t O B. Y,()= (Agt" +Az° +A,? +Apt) e' cos 5t + (Bgt" +B,t + B,P +B,) e' sin 5t OC. Y,= (Agr+Az +A,t+A) cos 5t + (B,t +B,+B,t+B,) sin 5t OD. Y,0=t(A,r°+A,P +A,t+ A] e'cos 5t + t(B3t + B, +B,t+B, e'sin 5t
Transcribed Image Text:Write the fom of a particular solution. Choose the correct answer below. O A. Y,)=t(Ag+AzP +A,t+A) cos 5t+t(B, +B, +B,t+B,) sin 5t O B. Y,()= (Agt" +Az° +A,? +Apt) e' cos 5t + (Bgt" +B,t + B,P +B,) e' sin 5t OC. Y,= (Agr+Az +A,t+A) cos 5t + (B,t +B,+B,t+B,) sin 5t OD. Y,0=t(A,r°+A,P +A,t+ A] e'cos 5t + t(B3t + B, +B,t+B, e'sin 5t
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