nsider the initial value problem y' = x−y, y(0) = 1 (a) [ 8 points] Use Euler's method with step size h=0.2 to solv

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nsider the initial value problem
y' = x−y, y(0) =
1
(a) [ 8 points] Use Euler's method with step size
h=0.2
to solve the following initial value problem to produce
approximate values of
y(0.2), y(0.4), y(0.6)
.

(b) [8 points] Use the Integrating Factor method
to find the exact solution.

(c)[5 points] All the solutions (with any initial condition) will
be asymptotic to a linear function as
x→ ∞
. Find this function.