Suppose $y' = -y + t$. We write $f(t,y)$ for the right-hand side of the differential equation.

(a) Determine the isoclines $f(t,y) = c$ for $c = -1, 0, 1$. Express each answer as $y = ...$.

Isocline for $c = -1:$   help (equations)

Isocline for $c = 0:$   help (equations)

Isocline for $c = 1:$   help (equations)

(b) On each of the isoclines in part (a), draw representative direction field filaments. Which graph A-D below most closely matches the graph you drew?
Answer: ? A B C D

A		B
C		D