Unformatted text preview: steps: (1) Draw lines through the origin determined by a and b . (2) Along these lines, draw arrows going towards the origin if λ < 0, and away from the origin if λ > 0. (3) Using the relations A a = λ a − μ b A b = μ a + λ b spiral from b to a if μ/λ < 0, and from a to b if μ/λ > 0. If λ is positive, we say that the direction ±eld is a nodal spiral . If λ is negative, we say that the direction ±eld is a spiral sink . 1...
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This note was uploaded on 11/30/2011 for the course MATH 366 taught by Professor Edraygoins during the Spring '09 term at Purdue.
- Spring '09