Find the critical point set for the given system. dx = x-y dt dy 8x? + 9y² - 5 %3D dt Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The set of critical points is { (Use a comma to separate answers as needed. Type an ordered pair. Type an exact answer, using radicals as needed.) O B. There are no critical points.
Find the critical point set for the given system. dx = x-y dt dy 8x? + 9y² - 5 %3D dt Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The set of critical points is { (Use a comma to separate answers as needed. Type an ordered pair. Type an exact answer, using radicals as needed.) O B. There are no critical points.
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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Question
![**Problem Statement**
Find the critical point set for the given system.
\[
\frac{dx}{dt} = x - y
\]
\[
\frac{dy}{dt} = 8x^2 + 9y^2 - 5
\]
**Instructions**
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- **A.** The set of critical points is \(\{\_\}\).
*(Use a comma to separate answers as needed. Type an ordered pair. Type an exact answer, using radicals as needed.)*
- **B.** There are no critical points.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b449640-d07e-4b78-b030-63505ac72924%2F1cf92068-f3fd-4e46-9686-0ba3b54907a3%2Fkajbij_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement**
Find the critical point set for the given system.
\[
\frac{dx}{dt} = x - y
\]
\[
\frac{dy}{dt} = 8x^2 + 9y^2 - 5
\]
**Instructions**
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- **A.** The set of critical points is \(\{\_\}\).
*(Use a comma to separate answers as needed. Type an ordered pair. Type an exact answer, using radicals as needed.)*
- **B.** There are no critical points.
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