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Unformatted text preview: curve’s general shape and features. This is a graph giving a qualitative solution. The graph of a solution, whether quantitative or qualitative, can supply con-siderable information about the nature of the solution. ±or example, maxima and minima or other turning points, when the solution is zero, when the solution is increasing and when decreasing, etc. Consider, for example, dx / dt = t 2 whose solution is x ( t ) = t 3 3 + c where c is the constant of integration. There are a whole series of solution curves depending on the value of c . ±our such curves are illustrated in Fgure 2.1, with solutions x ( t ) = t 3 3 + 8 , x ( t ) = t 3 3 + 2 , x ( t ) = t 3 3 , x ( t ) = t 3 3 − 3 Figure 2.1....
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This note was uploaded on 12/14/2011 for the course ECO 3023 taught by Professor Dr.gwartney during the Fall '11 term at FSU.
- Fall '11