Using the Method of Undetermined Coefficients, determine the form of a particular solution for the differential equation. (Dc y"-16y' +64y = 10t° e 8t %3D O A. The associated auxiliary equation has the double root The associated auxiliary equation has the two roots O B. (Use a comma to separate answers as needed.) O C. There are no roots to the associated auxiliary equation. Write the form of a particular solution. Choose the correct answer below O A. y(t) = (Agt° + Agt +A,t + A;P° +A,P° +A,t+ A) e 8t O B. Y() = (Agt° + Ast +Agt* + Agt° +Azt° +A,t+ A) e" O C. vít) = (A.16 + A 15+A 14013
Using the Method of Undetermined Coefficients, determine the form of a particular solution for the differential equation. (Dc y"-16y' +64y = 10t° e 8t %3D O A. The associated auxiliary equation has the double root The associated auxiliary equation has the two roots O B. (Use a comma to separate answers as needed.) O C. There are no roots to the associated auxiliary equation. Write the form of a particular solution. Choose the correct answer below O A. y(t) = (Agt° + Agt +A,t + A;P° +A,P° +A,t+ A) e 8t O B. Y() = (Agt° + Ast +Agt* + Agt° +Azt° +A,t+ A) e" O C. vít) = (A.16 + A 15+A 14013
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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![Using the Method of Undetermined Coefficients, determine the form of a particular solution for the differential equation. (Do not evaluate coefficients.)
y" – 16y' + 64y = 10ot e 8t
100W
O A. The associated auxiliary equation has the double root
The associated auxiliary equation has the two roots
(Use a comma to separate answers as needed.)
OB.
O C. There are no roots to the associated auxiliary equation.
Write the form of a particular solution. Choose the correct answer below.
O A. y() = (A,f° +Agt +A,t +A, +A,° +A,1+ A) e
8t
O B. y(t) = t
+ Agt° + Aqt* + Agt° + Agł +A,t+ Ap] e
8t
O C. y(t)= (A,1° + Agt³ +A,t + A,° +Az? +A,t+A,) e°
O D. y(t) = t
e öt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ee8edbd-6cd1-45a3-b098-b12c4b636293%2Fc9cc9f42-eda8-4459-af27-01ce1e753b06%2Fdbxv6u8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Using the Method of Undetermined Coefficients, determine the form of a particular solution for the differential equation. (Do not evaluate coefficients.)
y" – 16y' + 64y = 10ot e 8t
100W
O A. The associated auxiliary equation has the double root
The associated auxiliary equation has the two roots
(Use a comma to separate answers as needed.)
OB.
O C. There are no roots to the associated auxiliary equation.
Write the form of a particular solution. Choose the correct answer below.
O A. y() = (A,f° +Agt +A,t +A, +A,° +A,1+ A) e
8t
O B. y(t) = t
+ Agt° + Aqt* + Agt° + Agł +A,t+ Ap] e
8t
O C. y(t)= (A,1° + Agt³ +A,t + A,° +Az? +A,t+A,) e°
O D. y(t) = t
e öt
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