Consider the following IVP: y" -3y' -10y = 1, y(0) = -1, y'(0) = 2 Find the general solution. 13 5r -21 A y (t) 10 35 14 1-5t _ 21 13 2r y(1) = - 10 B 35 14 c y(1) 2t + 12 -5r _ 13 14 35 10 1 5t, 14.-21 + D y (1) = 35 10 13 +

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please use the Laplace Transform method in solving this problem

Consider the following IVP:
y" -3y' -10y = 1, y(0) = -1, y'(0) = 2
Find the general solution.
1
13
A
у (1)
10
35
14
2r
+
13 ,2
-5t
y (1) = -
10
B
35
14
12
+
35
13 2
2r
y (t)
-
14
10
1
14 -21
5t
D
y (1) =
+
13
--
35
10
Transcribed Image Text:Consider the following IVP: y" -3y' -10y = 1, y(0) = -1, y'(0) = 2 Find the general solution. 1 13 A у (1) 10 35 14 2r + 13 ,2 -5t y (1) = - 10 B 35 14 12 + 35 13 2 2r y (t) - 14 10 1 14 -21 5t D y (1) = + 13 -- 35 10
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