dy Given the differential equation dy (E) + 9y = csc(ræ) dæ2 dx Propose an appropriate particular solution. Take ui and u2 to be functions of x. -3x uje0u + u2e uj e3a + u2xe3a %3D Yp Yp = u1 cos(3x)+ u2 sin(3x) -3x + u2 xe -3x Yp = uje %3D
dy Given the differential equation dy (E) + 9y = csc(ræ) dæ2 dx Propose an appropriate particular solution. Take ui and u2 to be functions of x. -3x uje0u + u2e uj e3a + u2xe3a %3D Yp Yp = u1 cos(3x)+ u2 sin(3x) -3x + u2 xe -3x Yp = uje %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
32c
![d'y
Given the differential equation
dy
+ 9y = csc(ræ)
dæ?
dx
Propose an appropriate particular solution. Take ui and u2 to be functions
of x.
-3x
Yp = u1e3* + Uze"
= U1e
uje3 + u2xe3z
Yp
O yp
= uj cos(3x) + u2 sin(3x)
-3x
+ u2xe
-3x
Yp = Uje'](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F423035e8-5bab-47be-9b30-3ccc0deb20f0%2F9aaee3d0-bc02-4fbc-9550-ab57bf684f5b%2F55ijp8o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:d'y
Given the differential equation
dy
+ 9y = csc(ræ)
dæ?
dx
Propose an appropriate particular solution. Take ui and u2 to be functions
of x.
-3x
Yp = u1e3* + Uze"
= U1e
uje3 + u2xe3z
Yp
O yp
= uj cos(3x) + u2 sin(3x)
-3x
+ u2xe
-3x
Yp = Uje'
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