Let Enter your answers in terms of the variable t. 2e³t 8e-t -4e³t+2€¯ -6e³t+ 5e-t 3e³t 20e-t Show that ₁ (t) is a solution to the system +' = P by evaluating derivatives and the matrix product ₁ (t) F₁(t) = 1-1 P = Enter your answers in terms of the variable t. 3₁ ₂(t)= = help (formulas) help (matrices) Show that 7₂ (t) is a solution to the system +' = P by evaluating derivatives and the matrix product 22(0)=1/5 T₂(t) help (formulas) help (matrices)
Let Enter your answers in terms of the variable t. 2e³t 8e-t -4e³t+2€¯ -6e³t+ 5e-t 3e³t 20e-t Show that ₁ (t) is a solution to the system +' = P by evaluating derivatives and the matrix product ₁ (t) F₁(t) = 1-1 P = Enter your answers in terms of the variable t. 3₁ ₂(t)= = help (formulas) help (matrices) Show that 7₂ (t) is a solution to the system +' = P by evaluating derivatives and the matrix product 22(0)=1/5 T₂(t) help (formulas) help (matrices)
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
Please show your work!
![Let
2e³t8e-t
3e³t 20e-t
₂(t) =
Show that ₁ (t) is a solution to the system' = P☎ by evaluating derivatives and the matrix product
9
A(0) = 1
F₁ (t)
15
Enter your answers in terms of the variable t.
Enter your answers in terms of the variable t.
P =
₁ (t) =
=
=
{]-[
=
Show that T₂ (t) is a solution to the system ' = PT by evaluating derivatives and the matrix product
20-8-20
-4e³t+2e-t
-6e³t+5e-t
=
T₂(t)
help (formulas)
help (matrices)
help (formulas)
help (matrices)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5ea01508-f9b6-4a19-b038-56e12c298daf%2F7f6061bd-bb28-4cab-a95b-7c743b6d846a%2Fg1czd2e_processed.png&w=3840&q=75)
Transcribed Image Text:Let
2e³t8e-t
3e³t 20e-t
₂(t) =
Show that ₁ (t) is a solution to the system' = P☎ by evaluating derivatives and the matrix product
9
A(0) = 1
F₁ (t)
15
Enter your answers in terms of the variable t.
Enter your answers in terms of the variable t.
P =
₁ (t) =
=
=
{]-[
=
Show that T₂ (t) is a solution to the system ' = PT by evaluating derivatives and the matrix product
20-8-20
-4e³t+2e-t
-6e³t+5e-t
=
T₂(t)
help (formulas)
help (matrices)
help (formulas)
help (matrices)
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