Consider the initial value problem y' = x−y, y(0) = 1 (a) Use Euler's method with step size h=0.2 to solve the fol

[answerhappygod]

Consider the initial value problem
y' = x−y, y(0) = 1
(a) 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) Use the Integrating Factor method to find
the exact solution.
(c) All the solutions (with any initial condition) will be
asymptotic to a linear function as x→ ∞.Find this function.