Solve the equation by finding a general solution. d³ y d² y dx2 + 3 dy dx² a) 3 dx³ - 3- - y = 0 dx

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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Question
A
Solve the equation by finding a general solution.
- 3 d² y
dr.²
+3 dh
dx
a)
b)
c)
d)
e)
d³ y
dx³
d'y
dx³
d³y
dx³
day
dx4
-3d²y dy
+
dx²
d² y
dx²
d'y
dx6
+2-
d'y day
dxs
dx4
+81y = 0
f) d'y +2d²y
dx4
dx²
dx
+4
+8d¹y
dx4
- 3y = 0
dy
dx
dy
-16 +16= 0
dx
+16
- y = 0
+ y = 0
= 0
d² y
dx² y = 0
Transcribed Image Text:Solve the equation by finding a general solution. - 3 d² y dr.² +3 dh dx a) b) c) d) e) d³ y dx³ d'y dx³ d³y dx³ day dx4 -3d²y dy + dx² d² y dx² d'y dx6 +2- d'y day dxs dx4 +81y = 0 f) d'y +2d²y dx4 dx² dx +4 +8d¹y dx4 - 3y = 0 dy dx dy -16 +16= 0 dx +16 - y = 0 + y = 0 = 0 d² y dx² y = 0
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