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}

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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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