If the given solutions ÿ₁(t) = 2e³t+4e7 3e³t+10e-t = ₂(t) = form a fundamental set (i.e., linearly independent set) of solutions for the initial value problem 9 -41 [1] 15 |ÿ, ÿ(0) = 2e³t+4e7 +10e-t [3e³t +2e -6e³t+5e-¹* -4e³t []+( -28] 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. ÿ(t) = ( -64 2 -4e³t+2e7 -6e³t + 5e DE q
If the given solutions ÿ₁(t) = 2e³t+4e7 3e³t+10e-t = ₂(t) = form a fundamental set (i.e., linearly independent set) of solutions for the initial value problem 9 -41 [1] 15 |ÿ, ÿ(0) = 2e³t+4e7 +10e-t [3e³t +2e -6e³t+5e-¹* -4e³t []+( -28] 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. ÿ(t) = ( -64 2 -4e³t+2e7 -6e³t + 5e DE q
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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please solve it on paper
![This is the fourth part of a four-part problem.
If the given solutions
ÿ₁ (t)
=
2e³t+4e7
[3e³t+10e¯
], ÿ₂(t) = [-
-4e³t+2e7
-6e³t
+5e
form a fundamental set (i.e., linearly independent set) of solutions for the initial value problem
9
-281
ÿ' = [1 −4]ÿ, ÿ(0) =
-64
2e³t+4e7
3e³t+10e
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)
[7]
-t
+(
1)
-4e³t+2e
-6e³t
+5e-t](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05295cc1-71f0-4e3b-b6f8-2c1731c6d617%2Fe749442c-0d2e-4e02-9219-4f3b18d8f2ca%2Fmqd2epk_processed.png&w=3840&q=75)
Transcribed Image Text:This is the fourth part of a four-part problem.
If the given solutions
ÿ₁ (t)
=
2e³t+4e7
[3e³t+10e¯
], ÿ₂(t) = [-
-4e³t+2e7
-6e³t
+5e
form a fundamental set (i.e., linearly independent set) of solutions for the initial value problem
9
-281
ÿ' = [1 −4]ÿ, ÿ(0) =
-64
2e³t+4e7
3e³t+10e
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)
[7]
-t
+(
1)
-4e³t+2e
-6e³t
+5e-t
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