Solve the following differential equations ď²y (a) r dr3 dy + 2r- + 5x² dx² – 2y = 0 dr
Solve the following differential equations ď²y (a) r dr3 dy + 2r- + 5x² dx² – 2y = 0 dr
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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![Solve the following differential equations
„3 d³y
2 d²y
dy
(a) z*.
+ 5.x-
2.x.
2y = 0
dx
dr?
dy
+ 9r-
dr3
d²y
(b) z25
+ 16y = 0
dr?
dr
(c) (3r + 2)²-
dy
+ 3(3r + 2)-
dr
36y = 3x? + 4x +1
dr?
dy
dy
(d)
dx2
+ 2y = exp(x) tan(x)
2.
dx
dy
dy
-2z
(e)
dr?
4-
dr
+ 4y = x + 2+ e=2=
d'y
dy
(f)
dr2
- 2y = 14 + 2x – 2x2. y(0) = 0, du(0) = 0
dr
%3D
dr
+ +](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd686ae14-b065-4c6b-86c5-40434d553942%2F7c34cdc1-5f66-4ea7-bb18-a06177683c23%2Fegk3s6a_processed.png&w=3840&q=75)
Transcribed Image Text:Solve the following differential equations
„3 d³y
2 d²y
dy
(a) z*.
+ 5.x-
2.x.
2y = 0
dx
dr?
dy
+ 9r-
dr3
d²y
(b) z25
+ 16y = 0
dr?
dr
(c) (3r + 2)²-
dy
+ 3(3r + 2)-
dr
36y = 3x? + 4x +1
dr?
dy
dy
(d)
dx2
+ 2y = exp(x) tan(x)
2.
dx
dy
dy
-2z
(e)
dr?
4-
dr
+ 4y = x + 2+ e=2=
d'y
dy
(f)
dr2
- 2y = 14 + 2x – 2x2. y(0) = 0, du(0) = 0
dr
%3D
dr
+ +
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