Question

Reproduce the given computer-generated direction field. Then sketch an approximate solution curve that passes through each of
(a) y(-2) = 1
(ь) у(3) - 0
(c) y(0) 2
(d) y(0) 0
Reproduce the given computer-generated direction field. Then sketch an approximate solution curve that passes through each of the indicated points. dy-- dx
(a) y(-2) = 1
(ь) у(3) - 0
(c) y(0) 2
(d) y(0) 0
3 0
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Answer #1

a)

Consider the following differential equation:

dy2 yf

The objective is to reproduce the direction field and sketch a approximate solution curve through the point y(-2) = 1

The direction field of the differential equation is shown below:

wwo.e

The solution curve passing through point y(-2) = 1 is:

b)

The solution curve passing through point y(3) = 0 is:

c)

.The solution curve passing through point y(0) = 2 is:

/ 1 1 1 V 1

d)

.The solution curve passing through point y(0) = 0 is:

1 1 1 1 m ww www.

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