3t 0- [ 3t substituting it into the differential equation. (Enter the terms in the order given.) a. Verify that y(t) = is a solution to y' (t) = 1 -2 2 -2 1 2 y(t) by 2 2 1 Use angle brackets, ( and ), to indicate vectors, and separate the components with commas. E.g. (e', t², 2e²¹).
3t 0- [ 3t substituting it into the differential equation. (Enter the terms in the order given.) a. Verify that y(t) = is a solution to y' (t) = 1 -2 2 -2 1 2 y(t) by 2 2 1 Use angle brackets, ( and ), to indicate vectors, and separate the components with commas. E.g. (e', t², 2e²¹).
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
Transcribed Image Text:3t
---
3t
a. Verify that y(t)
=
b. Verify that yo(t) =
=
is a solution to y '(t)
substituting it into the differential equation. (Enter the terms in the order
given.)
y' (t)
=
5t + 1
2t
4t + 2
=
Use angle brackets, ( and ), to indicate vectors, and separate the
components with commas. E.g. (e', t², 2e²¹).
=
1
-2
2
-2 2
1
2 2 1
1
[
-2
is a particular solution to
-2 21
1
2 1
2 y(t) +
2 y(t) by
[1
4- (4t+ 4+ 5t)
0
2 (14t+2+ 4t)
by substituting it into the differential equation. (Enter the terms in the order
given.)
Use angle brackets, ( and ), to indicate vectors, and separate the
components with commas. E.g. (3, 3t², 2t + 1).
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