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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
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}
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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