a. Verify that Y(t) = -e -51 # -e -St is a solution to y (t) = D. Verify that yo(t) = 1 -3 3 Use angle brackets, (and), to indicate vectors, and separate the components with commas. E.g. (e', 1², 2e²¹). -3 31 1 3 (t) by substituting it into the differential equation. (Enter the terms in the order given.) 3 1 Bo r5t+11 2t is a particular solution to 41 + 2 -3 3 1 3 by substituting it into the differential equation. (Enter the terms in the order given.) 3 3 y(t) + 1 4- (6t+ 6 + 5t) t-1 2 (211+3+ 4t) Use angle brackets, (and), to indicate vectors, and separate the components with commas. E.g. (3, 31², 21+ 1).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 31E
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Question
a. Verify that Y(t):
=
-e
b. Verify that yo(t)
e
- 5t
- 5t
-5t
=
r5t + 1
2t
4t + 2
is a solution to y' (t) =
1
=
3
Use angle brackets, ( and ), to indicate vectors, and separate the components with commas. E.g. (e¹, t², 2e²¹).
-3 3'
1
3
is a particular solution to
3 (t) by substituting it into the differential equation. (Enter the terms in the order given.)
Jos
I'(t)
3
3
-3 3
1 3
3 1
by substituting it into the differential equation. (Enter the terms in the order given.)
y(t)
4- (6t+ 6 + 5t)
t-1
2- (21t+ 3+ 4t)
Use angle brackets, ( and ), to indicate vectors, and separate the components with commas. E.g. (3, 3t², 2t + 1).
Transcribed Image Text:a. Verify that Y(t): = -e b. Verify that yo(t) e - 5t - 5t -5t = r5t + 1 2t 4t + 2 is a solution to y' (t) = 1 = 3 Use angle brackets, ( and ), to indicate vectors, and separate the components with commas. E.g. (e¹, t², 2e²¹). -3 3' 1 3 is a particular solution to 3 (t) by substituting it into the differential equation. (Enter the terms in the order given.) Jos I'(t) 3 3 -3 3 1 3 3 1 by substituting it into the differential equation. (Enter the terms in the order given.) y(t) 4- (6t+ 6 + 5t) t-1 2- (21t+ 3+ 4t) Use angle brackets, ( and ), to indicate vectors, and separate the components with commas. E.g. (3, 3t², 2t + 1).
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