Solve an initial value problem of
y'' - 2y' + y = -4eˣ + 1, y(0) = 0, y'(0) = 1.
a) y(x) = -2eˣ + 2x + 1
b) y(x) = 2eˣ - 2x + 1
c) y(x) = -2eˣ + 2x - 1
d) y(x) = 2eˣ - 2x - 1