b) d² y dx² + y = cos(x)

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
1b
Solve the equation finding a general solution.
d² y
dx²
a)
e)
d'y dy
dx²
dx
d² y
dx²
-16y= 3x
d² y
dx²
-12y=3e²x
dy
dx
4-
+ 5y = e²* tan x
+ y = secx + 4e*
b)
d)
f)
h)
d²y
dx²
d² y
dx²
2
+ y = cos(x)
dy
+5. +6y=8
dx
d² y
+ 4y = 24 sec³ (2x)
2
d²y + 25y = 10 cot² (5x)
dx²
Transcribed Image Text:Solve the equation finding a general solution. d² y dx² a) e) d'y dy dx² dx d² y dx² -16y= 3x d² y dx² -12y=3e²x dy dx 4- + 5y = e²* tan x + y = secx + 4e* b) d) f) h) d²y dx² d² y dx² 2 + y = cos(x) dy +5. +6y=8 dx d² y + 4y = 24 sec³ (2x) 2 d²y + 25y = 10 cot² (5x) dx²
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