Using the Method of Undetermined Coefficients, determine the form of a particular solution for the differential equation. (Do not evaluate coeffic y" +49y = 17t³ sin 7t The root(s) of the auxiliary equation associated with the given differential equation is/are (Use a comma to separate answers as needed.) Write the form of a particular solution. Choose the correct answer below. O A. Yp(t)=t(A3t³ + A₂t² + A₁t+ Ao) e¹ cos 7t + t +t(B3t³ + B₂t² + B₁t+ Bo) e' sin 7t OB. Yp(t)=t(A3t³ + A₂t² + A₁t+A₁) cos 7t+t(B3t³ + B₂t² + B₁t+ Bo) sin 7t OC. Yp (t) = (A3t4 + A₂t³ + A₁t² + Ant) e' cos 7t+ (B3t + B₂t³ + B₁t² + Bo) e' sin 7t OD. Yp(t) = (A3t³ + A₂t² + A₁t+ Ao) cos 7t + (B3t³ + B₂t² + B₁t+Bo) sin 7t
Using the Method of Undetermined Coefficients, determine the form of a particular solution for the differential equation. (Do not evaluate coeffic y" +49y = 17t³ sin 7t The root(s) of the auxiliary equation associated with the given differential equation is/are (Use a comma to separate answers as needed.) Write the form of a particular solution. Choose the correct answer below. O A. Yp(t)=t(A3t³ + A₂t² + A₁t+ Ao) e¹ cos 7t + t +t(B3t³ + B₂t² + B₁t+ Bo) e' sin 7t OB. Yp(t)=t(A3t³ + A₂t² + A₁t+A₁) cos 7t+t(B3t³ + B₂t² + B₁t+ Bo) sin 7t OC. Yp (t) = (A3t4 + A₂t³ + A₁t² + Ant) e' cos 7t+ (B3t + B₂t³ + B₁t² + Bo) e' sin 7t OD. Yp(t) = (A3t³ + A₂t² + A₁t+ Ao) cos 7t + (B3t³ + B₂t² + B₁t+Bo) sin 7t
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 18E: Find the general solution for each differential equation. Verify that each solution satisfies the...
Related questions
Question
![Using the Method of Undetermined Coefficients, determine the form of a particular solution for the differential equation. (Do not evaluate coefficie
y" +49y = 17t³ sin 7t
The root(s) of the auxiliary equation associated with the given differential equation is/are
(Use a comma to separate answers as needed.)
Write the form of a particular solution. Choose the correct answer below.
et
OA. Yp(t)=t(A3t³ + A₂t² + A₁t+ Ao) e' cos 7t+t(B3t³ + B₂t² +B₁t+Bo) e' sin 7t
+t(B³t³ + B₂t² + B₁t+ B₁) sin 7t
O B. Yp(t)=t(A3t³ + A₂t² + A₁t+
t + Ao) cos 7t+t
O C. Yp (t) = (A3t¹ + A₂t³ + A₁t² + Aût) e¹ cos 7t +
t+ (B3t² + B₂t³ + B₁t² + Bo) e' sin 7t
OD. Yp (t) = (Agt³ +A₂t² + A₁t+Ao) cos 7t+ (Bgt² + B₂t² +B₁t+Bo) sin 7t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F787c5cc1-11a2-48ec-b203-11a6a60b8c1f%2Fc45cf85e-b5a2-4704-823b-78d6b4df9399%2Fpvv2ph_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 coefficie
y" +49y = 17t³ sin 7t
The root(s) of the auxiliary equation associated with the given differential equation is/are
(Use a comma to separate answers as needed.)
Write the form of a particular solution. Choose the correct answer below.
et
OA. Yp(t)=t(A3t³ + A₂t² + A₁t+ Ao) e' cos 7t+t(B3t³ + B₂t² +B₁t+Bo) e' sin 7t
+t(B³t³ + B₂t² + B₁t+ B₁) sin 7t
O B. Yp(t)=t(A3t³ + A₂t² + A₁t+
t + Ao) cos 7t+t
O C. Yp (t) = (A3t¹ + A₂t³ + A₁t² + Aût) e¹ cos 7t +
t+ (B3t² + B₂t³ + B₁t² + Bo) e' sin 7t
OD. Yp (t) = (Agt³ +A₂t² + A₁t+Ao) cos 7t+ (Bgt² + B₂t² +B₁t+Bo) sin 7t
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