The slope field in Fig. 4(a) suggests that the solution curve of the differential equation y′ = t - y through the point (0, -1) is a straight line.

(a) Assuming that this is true, find the equation of the line.

(b) Verify that the function that you found in part (a) is a solution by plugging its formula into the differential equation.

Transcribed Image Text:

y 3 N [₁ |||||| 0 1 2 3 4 (a) Slope field of y = t - y. t