If the given solutions 2e3t – 4e- ) = | 3e -бе + 2е- 10е- -9e³t + 5e¬' form a fundamental set (i.e., linearly independent set) of solutions for the initial value problem -4 у, у(0) — 15 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. D| 2e31 – 4e- + -6e + 2e¬]|

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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D7-6e3t + 2e
If the given solutions
2e3 – 4e-
n) = 3 – 10€
-6e3t + 2e
|, v2(t) = | -9e + 5e
3e3!
form a fundamental set (i.e., linearly independent set) of solutions for the initial value problem
9.
-4+
-10
y, y(0) =
-7
y
15
-5
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.
2e3 – 4e-
+ (
3e31 – 10e-
-6e3! + 2e-
1t) = (
-9e3
+ 5e-
Transcribed Image Text:D7-6e3t + 2e If the given solutions 2e3 – 4e- n) = 3 – 10€ -6e3t + 2e |, v2(t) = | -9e + 5e 3e3! form a fundamental set (i.e., linearly independent set) of solutions for the initial value problem 9. -4+ -10 y, y(0) = -7 y 15 -5 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. 2e3 – 4e- + ( 3e31 – 10e- -6e3! + 2e- 1t) = ( -9e3 + 5e-
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