2. Solve the equation finding a general solution. d² y dx² dy - 3+2y=0 dx a) e) d² y dx² d² y dx² d²y dx² dy dx +4- dy dx +5- +4y=0 +2y=0 -10% dx +25y = 0 b) d) h) d² y dx² d²y dx² d²y dx² -9y=0 +5% dx dy dx 4- d'y dy + dx² +6y=0 dx 13y = 0 - + y = 0

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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2. Solve the equation finding a general solution.
d² y
dx²
dy
−3+2y=0
dx
a)
e)
d'y
dx²
d² y
dx²
d² y
dx²
dy
dx
+4-
+ 4y = 0
dy
+5- +2y=0
dx
-10%
dx
+25y = 0
b)
f)
d² y
dx²
h)
d²y
dx²
d) 5 dy +6y=0
+5%
dx
-9y=0
d²y
dx²2
dy
dx
4-
d'y dy
+
dx²
13y = 0
- + y = 0
dx
Transcribed Image Text:2. Solve the equation finding a general solution. d² y dx² dy −3+2y=0 dx a) e) d'y dx² d² y dx² d² y dx² dy dx +4- + 4y = 0 dy +5- +2y=0 dx -10% dx +25y = 0 b) f) d² y dx² h) d²y dx² d) 5 dy +6y=0 +5% dx -9y=0 d²y dx²2 dy dx 4- d'y dy + dx² 13y = 0 - + y = 0 dx
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