The direction field for is shown in dy/dx = 4x/y Figure 1.13.
(a) Verify that the straight lines y = ± 2x are solution curves, provided x ≠ 0.
(b) Sketch the solution curve with initial condition y (0) = 2.
(c) Sketch the solution curve with initial condition y(2) = 1.
(d) What can you say about the behavior of the above solutions as x + ∞? How about - ∞
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