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The direction field for StartFraction dy Over dx EndFraction equalsStartFraction 25 x Over 4 y EndFraction is shown to the right. (a) Verify that the
The direction field for StartFraction dy Over dx EndFraction equalsStartFraction 25 x Over 4 y EndFraction is shown to the right. (a) Verify that the straight lines yequalsplus or minusfive halves x are solution curves, provided xnot equals0. (b) Sketch the solution curve with initial condition y(0)equals2. (c) Sketch the solution curve with initial condition y(2)equalsnegative 1. (d) What can be said about the behavior of the above solutions as xright arrowplusinfinity? How about xright arrowminusinfinity? 1 2 3 4 1 2 3 4 x y 0 A coordinate system has a horizontal x-axis labeled from negative 5 to 5 in increments of 1 and a vertical y-axis labeled from negative 5 to 5 in increments of 1. An open circle is at each tick mark on the x-axis. A closed circle is at each tick mark on the y-axis other than the origin. A line rises from left to right, passing through (0, 0) and (2, 5). A line falls from left to right, passing through (0, 0) and (2, negative 5). A collection of equal-length line segments is shown in 11 evenly spaced rows with 11 evenly spaced line segments in each row. The line segments along the
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