Consider the Direction Field for which is shown below. dy dx 3 = 2x Y Source Deborah Hughes, Club Single and Maria x 1) How does the direction field vary as we move around the x-y plane? 2) Plot the solution curves on the direction field through point (0, 0), and point (0, 1), respectively. 3) Compare the solution curves sketched above with formula for the solutions and explain the similarity and difference.

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Question:
Consider the Direction Field for
which is shown below.
3
dx
3
= 2x
Y
3
Source Deborah Hughes-Haleet, Calou Single and Murat
x
1) How does the direction field vary as we move around the x-y plane?
2) Plot the solution curves on the direction field through
point (0, 0), and
point (0, 1), respectively.
3) Compare the solution curves sketched above with formula for the solutions
and explain the similarity and difference.
Transcribed Image Text:Question: Consider the Direction Field for which is shown below. 3 dx 3 = 2x Y 3 Source Deborah Hughes-Haleet, Calou Single and Murat x 1) How does the direction field vary as we move around the x-y plane? 2) Plot the solution curves on the direction field through point (0, 0), and point (0, 1), respectively. 3) Compare the solution curves sketched above with formula for the solutions and explain the similarity and difference.
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