Consider the two slope fields shown, in figures 1 and 2 below.
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figure 1 | figure 2 |
On a print-out of these slope fields, sketch for each three solution
curves to the differential equations that generated them. Then complete
the following statements:
For the slope field in figure 1, a solution passing through the
point (4,-3) has a slope.
For the slope field in figure 1, a solution passing through the
point (-2,-3) has a slope.
For the slope field in figure 2, a solution passing through the
point (2,-1) has a slope.
For the slope field in figure 2, a solution passing through the
point (0,3) has a slope.