Consider the following IVP: y" -3y' -10y = 1, y(0) = -1, y'(0) = 2 Find the general solution. A 5t -+-e 13 -21 y (t) 10 35 14 14 + -e+ 13 -21 y(1) = -- 35 10 y(1) 2r = --e+ -e 12 -5t 13 21 14 35 10 2r + 13 21 -5r y (1) = - 10 35 14
Consider the following IVP: y" -3y' -10y = 1, y(0) = -1, y'(0) = 2 Find the general solution. A 5t -+-e 13 -21 y (t) 10 35 14 14 + -e+ 13 -21 y(1) = -- 35 10 y(1) 2r = --e+ -e 12 -5t 13 21 14 35 10 2r + 13 21 -5r y (1) = - 10 35 14
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Consider the following IVP:
y" -3y' -10y = 1, y(0) = -1, y'(0) = 2
Find the general solution.
A
5t
-+-e
13
-21
y (t)
10
35
14
14
+ -e+
13
-21
y(1) = --
35
10
y(1)
2r
= --e+ -e
12
-5t
13 21
14
35
10
2r
+
13
21
-5r
y (1) = -
10
35
14](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c9658e3-3668-4f53-b8a0-8618380cf6ec%2F49d8b168-ed8a-47f4-8c36-ee0039543c4d%2Fbc9fprr_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following IVP:
y" -3y' -10y = 1, y(0) = -1, y'(0) = 2
Find the general solution.
A
5t
-+-e
13
-21
y (t)
10
35
14
14
+ -e+
13
-21
y(1) = --
35
10
y(1)
2r
= --e+ -e
12
-5t
13 21
14
35
10
2r
+
13
21
-5r
y (1) = -
10
35
14
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