Let 9 P = 15 2e3t – 6e 3et – -4e3t + 2e -6e3t + 5e¯ ỹ1(t) [3e - 15e+| V2(t) = a. Show that j1 (t) is a solution to the system j' = Pj by evaluating derivatives and the matrix product 9 -41 |15 Enter your answers in terms of the variable t. |- [ ] b. Show that 2(t) is a solution to the system j' = Pj by evaluating derivatives and the matrix product 9 -4] 2(t) |15 Enter your answers in terms of the variable t. ]· [8 ]
Let 9 P = 15 2e3t – 6e 3et – -4e3t + 2e -6e3t + 5e¯ ỹ1(t) [3e - 15e+| V2(t) = a. Show that j1 (t) is a solution to the system j' = Pj by evaluating derivatives and the matrix product 9 -41 |15 Enter your answers in terms of the variable t. |- [ ] b. Show that 2(t) is a solution to the system j' = Pj by evaluating derivatives and the matrix product 9 -4] 2(t) |15 Enter your answers in terms of the variable t. ]· [8 ]
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
![This is the first part of a four-part problem.
Let
P =
2e3t – 6e
-4e3t + 2e
1(t) =
[3et
2(t) =
-6e3t + 5e]
15et
a. Show that j1(t) is a solution to the system i' = Pỹ by evaluating derivatives and the matrix product
9
=
15
Enter your answers in terms of the variable t.
b. Show that ğa(t) is a solution to the system j' = Pj by evaluating derivatives and the matrix product
=
Enter your answers in terms of the variable t.
8 ]- [8 ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4985fedc-cda7-48fc-a2d6-5a020975a7bd%2Fb0e05a52-ecd5-47d6-982a-a64276ed86a5%2Fop9gxvc_processed.png&w=3840&q=75)
Transcribed Image Text:This is the first part of a four-part problem.
Let
P =
2e3t – 6e
-4e3t + 2e
1(t) =
[3et
2(t) =
-6e3t + 5e]
15et
a. Show that j1(t) is a solution to the system i' = Pỹ by evaluating derivatives and the matrix product
9
=
15
Enter your answers in terms of the variable t.
b. Show that ğa(t) is a solution to the system j' = Pj by evaluating derivatives and the matrix product
=
Enter your answers in terms of the variable t.
8 ]- [8 ]
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