20_pdfsam_math 54 differential equation solutions odd

20_pdfsam_math 54 differential equation solutions odd -...

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Chapter 1 0 5 51 0 c = 5 c = 4 c = 3 c = 2 c = 1 c =1 c =2 c =3 c =4 3 Figure 1–B : Isoclines and the direction feld For Problem 17. and so the elements oF the direction feld have negative or zero slope ; iF an isocline is located below the line y =3 ,then c> 0, and so the elements oF the direction feld have positive slope . In other words, For x> 0 large enough, at any point above the line y = 3 a solution curve decreases passing through this point, and any solution curve increases passing through a point below y = 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.

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