aph of f (y) and f (x), respectively. By hand, sketch a

Chapter 2, Problem 14E

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QUESTION:

In Problems 13 and 14 the given figure represents the graph of f(y) and f(x), respectively. By hand, sketch a direction field over an appropriate grid for dy/dx = f(y) (Problem 13) and then for dy/dx = f(x) (Problem 14).

                                               

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QUESTION:

In Problems 13 and 14 the given figure represents the graph of f(y) and f(x), respectively. By hand, sketch a direction field over an appropriate grid for dy/dx = f(y) (Problem 13) and then for dy/dx = f(x) (Problem 14).

                                               

ANSWER:

Step 1 of 3

From the graph, observe that graph of  intersects -axis at

So, the critical points of the differential equation

The critical points on the vertical line and then divide the line in to five intervals as shown:

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