In Exercises 12-22 construct a direction field and plot some integral curves in the indicated rectangular region. 12. C/G y = y(y-1); {-1 ≤x≤2, -2 ≤ y ≤ 2}
In Exercises 12-22 construct a direction field and plot some integral curves in the indicated rectangular region. 12. C/G y = y(y-1); {-1 ≤x≤2, -2 ≤ y ≤ 2}
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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![For #17 only. Use the methods of isoclines.
In Exercises 12-22 construct a direction field and plot some integral curves in the indicated rectangular
region.
{-1≤x≤2, -2 ≤ y ≤ 2}
{-1≤x≤4,-4≤ y ≤ 4}
{-2≤x≤2, -4≤ y ≤ 4}
12. C/G y = y(y-1);
13. C/Gy=2-3ry:
C/G y = xy(y-1);
14.
15.
C/G y = 3x+y;
{-2≤x≤2, 0≤ y ≤ 4}
16. C/Gy=y-z³; {-2≤x≤2, -2≤ y ≤ 2}
17. C/Gy=1-2²-y²; {-2≤x≤2, -2≤ y ≤ 2}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7819bd1d-5354-484c-acaf-25534d378d1f%2Fe6124bbf-b303-4184-8d56-09641c8b31db%2Fbimlk6f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For #17 only. Use the methods of isoclines.
In Exercises 12-22 construct a direction field and plot some integral curves in the indicated rectangular
region.
{-1≤x≤2, -2 ≤ y ≤ 2}
{-1≤x≤4,-4≤ y ≤ 4}
{-2≤x≤2, -4≤ y ≤ 4}
12. C/G y = y(y-1);
13. C/Gy=2-3ry:
C/G y = xy(y-1);
14.
15.
C/G y = 3x+y;
{-2≤x≤2, 0≤ y ≤ 4}
16. C/Gy=y-z³; {-2≤x≤2, -2≤ y ≤ 2}
17. C/Gy=1-2²-y²; {-2≤x≤2, -2≤ y ≤ 2}
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