The differential equationdy/dx = y- 2 is given.

b)Describe the shape and location of the patterns that occur in the slope field.

c)What general solution is suggested by the slope field?

d)Given the initial conditiony(0) = 1, what particular function is suggested by the slope field?

e)Use a technological tool and Euler's method with ten steps of size 0.1 to estimatey(1). Make certain to include supporting screen captures.

f)What is the exact solution to the differential equation fory(0)= 1?

g)Compare the exact value ofy(1) with the estimation from part d).