₁ (t)= [3e³t-10e-t], 7₂(t) = ÿ' form a fundamental set (i.e., linearly independent set) of solutions for the initial value problem 9 - [₁³ =1]ū, _ū(0) = [-²8]), ÿ, -79 2e³4e- 3e³t-10e-t] 8e³t+2e7 12 impose the given initial condition and find the unique solution to the initial value problem. If the given solutions do not form a fundamental set, enter NONE in all of the answer blanks. y(t) = (1 +2 (2) 8e³t+2e7 [12e³t +5e-t
₁ (t)= [3e³t-10e-t], 7₂(t) = ÿ' form a fundamental set (i.e., linearly independent set) of solutions for the initial value problem 9 - [₁³ =1]ū, _ū(0) = [-²8]), ÿ, -79 2e³4e- 3e³t-10e-t] 8e³t+2e7 12 impose the given initial condition and find the unique solution to the initial value problem. If the given solutions do not form a fundamental set, enter NONE in all of the answer blanks. y(t) = (1 +2 (2) 8e³t+2e7 [12e³t +5e-t
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 fourth part of a four-part problem.
If the given solutions
₁ (t) =
=
2e³t4e7
3e³t 10e
form a fundamental set (i.e., linearly independent set) of solutions for the initial value problem
-38
7(0) = [79]
3
ÿ'
y(t) =
=
=
9
15 -7
8e³t+2e7
3t
32(t) = 12est + 5e-t
ÿ,
impose the given initial condition and find the unique solution to the initial value problem. If the given
solutions do not form a fundamental set, enter NONE in all of the answer blanks.
8e³t+2e7
2e³t4e¯
50-(1)-10-1]+[2+36-1-
3e³t
12e³t + 5e-t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ad229d2-94c2-4360-b0ca-273c76ee826c%2Fe5230435-3405-4aef-8a94-b9bb8889e8c3%2Fg6ebojm_processed.png&w=3840&q=75)
Transcribed Image Text:This is the fourth part of a four-part problem.
If the given solutions
₁ (t) =
=
2e³t4e7
3e³t 10e
form a fundamental set (i.e., linearly independent set) of solutions for the initial value problem
-38
7(0) = [79]
3
ÿ'
y(t) =
=
=
9
15 -7
8e³t+2e7
3t
32(t) = 12est + 5e-t
ÿ,
impose the given initial condition and find the unique solution to the initial value problem. If the given
solutions do not form a fundamental set, enter NONE in all of the answer blanks.
8e³t+2e7
2e³t4e¯
50-(1)-10-1]+[2+36-1-
3e³t
12e³t + 5e-t
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