system of first order differential equations: solution: : You must express the answer in terms of real numbers only. [31 ly/2 || || = = - 23 y₁ + 4 y2, −104 y₁ + 17 y2, y₁ (0) = 3 Y₂(0) = 13
system of first order differential equations: solution: : You must express the answer in terms of real numbers only. [31 ly/2 || || = = - 23 y₁ + 4 y2, −104 y₁ + 17 y2, y₁ (0) = 3 Y₂(0) = 13
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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Transcribed Image Text:The system of first order differential equations:
has solution:
y₁ (t)
Y₂(t)
=
=
Note: You must express the answer in terms of real numbers only.
Jy₁
13/2
=
=
-23 y₁ + 4 y2,
-104 y₁ + 17 y2,
y₁ (0) = 3
Y₂ (0) = 13
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Follow-up Question
![Entered
([15*sqrt(17)+43]/[10*sqrt(17)])*
[e^([-20+5*sqrt(17)]*t)]+
([15*sqrt(17)-43]/[10*sqrt(17)])*
[e^([-20-5*sqrt(17)]*t)]
([65*sqrt(17)+351]/[10*sqrt(17)])*
[e^([-20+5*sqrt(17)]*t)] +
([65*sqrt(17)-351]/[10*sqrt(17)])*
[e^([-20-5*sqrt(17)]*t)]
At least one of the answers above is NOT correct.
has solution:
The system of first order differential equations:
y₁ (t)
Y2(t)
=
=
15√/17+43 (-20+5√/17)t __ 15√/17 − 43 (-20-5√/17) t
+
10√17
10√/17
[y/₁
\ 3/1/2
65√/17+351 (-20+5√/17)t __ _65√/17 – 351 e(-20-5√/17) t
10√/17
10√/17
=
-23 y₁ + 4 y2,
Y1 +17
= -104
15√/17 +43(-20+5√/17)t
10√17
+
Answer Preview
65√/17 +351(-20+5√/17)t
10√/17
Y2,
10√17
y₁ (0) =
Y2 (0)
= 3
= 13
15√/17 -43(-20-5√√/17)t
10√17
65√/17-351-20-5√√ 17 )t
Result
incorrect
incorrect](https://content.bartleby.com/qna-images/question/2cd2d665-daee-46b8-ac4c-2b4cec66538a/d139d61f-13b8-486a-b3a5-057bdc4378e3/ujcuyto_processed.png)
Transcribed Image Text:Entered
([15*sqrt(17)+43]/[10*sqrt(17)])*
[e^([-20+5*sqrt(17)]*t)]+
([15*sqrt(17)-43]/[10*sqrt(17)])*
[e^([-20-5*sqrt(17)]*t)]
([65*sqrt(17)+351]/[10*sqrt(17)])*
[e^([-20+5*sqrt(17)]*t)] +
([65*sqrt(17)-351]/[10*sqrt(17)])*
[e^([-20-5*sqrt(17)]*t)]
At least one of the answers above is NOT correct.
has solution:
The system of first order differential equations:
y₁ (t)
Y2(t)
=
=
15√/17+43 (-20+5√/17)t __ 15√/17 − 43 (-20-5√/17) t
+
10√17
10√/17
[y/₁
\ 3/1/2
65√/17+351 (-20+5√/17)t __ _65√/17 – 351 e(-20-5√/17) t
10√/17
10√/17
=
-23 y₁ + 4 y2,
Y1 +17
= -104
15√/17 +43(-20+5√/17)t
10√17
+
Answer Preview
65√/17 +351(-20+5√/17)t
10√/17
Y2,
10√17
y₁ (0) =
Y2 (0)
= 3
= 13
15√/17 -43(-20-5√√/17)t
10√17
65√/17-351-20-5√√ 17 )t
Result
incorrect
incorrect
Solution
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