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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**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.
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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