dy = 2-y dx %3D 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.

Question

Thank you for your assistance 

dy = 2-y
dx
%3D
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.
Expand
Transcribed Image Text

dy = 2-y dx %3D 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.

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Homogeneous Linear Differential Equations

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