Let P Enter your answers in terms of the variable t. = (t) 2t-2 L-21-2 = [t2-2t 2t 1-2t ¹+2t 2t-¹-21-2 7 ý (t) 2+ ²], = - a. Show that y₁ (t) is a solution to the system' = Pÿ by evaluating derivatives and the matrix product ÿ' (t) 21-2 12t¹ + 2t -2t-2 2t-¹-2t-2₁ (t) 181-181 =
Let P Enter your answers in terms of the variable t. = (t) 2t-2 L-21-2 = [t2-2t 2t 1-2t ¹+2t 2t-¹-21-2 7 ý (t) 2+ ²], = - a. Show that y₁ (t) is a solution to the system' = Pÿ by evaluating derivatives and the matrix product ÿ' (t) 21-2 12t¹ + 2t -2t-2 2t-¹-2t-2₁ (t) 181-181 =
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
![Let
Enter your answers in terms of the variable t.
P
=
Enter your answers in terms of the variable t.
(t)
2t-2
L-21-2
=
[t2-2t
2t
1-2t ¹+2t
2t-¹-21-2
7
T₂(t) = [2tt
ý (t)
a. Show that y₁ (t) is a solution to the system ÿ' = Pÿ by evaluating derivatives and the matrix product
21-2
12t¹+2t
ÿ' (t)
-2t-2
2t-¹2-2
F₁ (t)
11
+²7].
=
b. Show that ₂ (t) is a solution to the system ÿ' = Pý by evaluating derivatives and the matrix product
21-2
-2t-2
12t¹ + 2t
2t-¹-21-2
=
[7]
ÿ₂ (t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fefe48ce5-c1e8-4c52-aeb2-02053ba21519%2F7afb4852-46a1-4b1b-8837-fbfdf2b94560%2Fyjx49bj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let
Enter your answers in terms of the variable t.
P
=
Enter your answers in terms of the variable t.
(t)
2t-2
L-21-2
=
[t2-2t
2t
1-2t ¹+2t
2t-¹-21-2
7
T₂(t) = [2tt
ý (t)
a. Show that y₁ (t) is a solution to the system ÿ' = Pÿ by evaluating derivatives and the matrix product
21-2
12t¹+2t
ÿ' (t)
-2t-2
2t-¹2-2
F₁ (t)
11
+²7].
=
b. Show that ₂ (t) is a solution to the system ÿ' = Pý by evaluating derivatives and the matrix product
21-2
-2t-2
12t¹ + 2t
2t-¹-21-2
=
[7]
ÿ₂ (t)
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