Chapter 105510c=−5c=−4c=−3c=−2c=−1c=1c=2c=3c=43Figure 1–B: Isoclines and the direction feld For Problem 17.and so the elements oF the direction feld havenegativeorzero slope; iF an isocline is locatedbelowthe liney=3,thenc>0, and so the elements oF the direction feld havepositive slope.In other words, Forx>0 large enough, at any point above the liney= 3 a solution curvedecreases passing through this point, and any solution curve increases passing through a pointbelowy= 3. The direction feld For this di±erential equation is depicted in ²igure 1-B. ²rom
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This note was uploaded on 03/29/2010 for the course MATH 54257 taught by Professor Hald,oh during the Spring '10 term at University of California, Berkeley.