you for your assistance Transcribed Image Text: dy = 2-y

dx

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1. Consider the differential equation

(a) On the axes provided, sketch a slope field for the given differential equation at the nine points

indicated.

y

3+

2+

woll o ca T

X-

1

3

(b) Let y = f(1) be the particular solution to the given differential equation with the initial condition

f (3) = 1. Write an equation for the line tangent to the graph of y = f (x) at x = 3. Use the equation

to approximate the value of f (3.5).

(c) Find the particular solution Y = f () to the given differential equation with the initial condition

f (3) = 1.

2.