You have been given the following system of differential equations (DE): *'- [ 44 ] *, * (0) = [-¯ You must verify that the following: ✯ (t) = C, e³t [³] + c₂e³* [-1) Is a valid solution for the system of differential equations for any selection of the constants c1 and c2. Determine the specific values of c1 and c2 that satisfy the provided initial value problem. (As per the uniqueness theorem, (0) = x x = Pz you have identified the singular solution for The space to write your answer is provided below: à (t) = (_________) . e5t [¼]+ (_ and 3t .). e³t [-²]
You have been given the following system of differential equations (DE): *'- [ 44 ] *, * (0) = [-¯ You must verify that the following: ✯ (t) = C, e³t [³] + c₂e³* [-1) Is a valid solution for the system of differential equations for any selection of the constants c1 and c2. Determine the specific values of c1 and c2 that satisfy the provided initial value problem. (As per the uniqueness theorem, (0) = x x = Pz you have identified the singular solution for The space to write your answer is provided below: à (t) = (_________) . e5t [¼]+ (_ and 3t .). e³t [-²]
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Question 6.13
You have been given the following system of differential equations (DE):
[44], [-]
You must verify that the following:
3t
* (t) = C₁ et [¹]+₂e³ [1]
Is a valid solution for the system of differential equations for any selection of
the constants c1 and c2. Determine the specific values of c1 and c2 that
satisfy the provided initial value problem. (As per the uniqueness theorem,
= Pz
(0) = 2₁
you have identified the singular solution for
The space to write your answer is provided below:
je (t) = (
__) • e5t [1] + (_
and
3t
e³t [-]
().e³](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a8bf02d-7b1c-4233-ab65-801cb4b13d29%2Fe321940b-2831-4e87-8653-481b142c8dfd%2Fm5mxtst_processed.png&w=3840&q=75)
Transcribed Image Text:Question 6.13
You have been given the following system of differential equations (DE):
[44], [-]
You must verify that the following:
3t
* (t) = C₁ et [¹]+₂e³ [1]
Is a valid solution for the system of differential equations for any selection of
the constants c1 and c2. Determine the specific values of c1 and c2 that
satisfy the provided initial value problem. (As per the uniqueness theorem,
= Pz
(0) = 2₁
you have identified the singular solution for
The space to write your answer is provided below:
je (t) = (
__) • e5t [1] + (_
and
3t
e³t [-]
().e³
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