Solve y′+y=2y' + y = 2y′+y=2.
y=2+Ce−xy = 2 + C e^{-x}y=2+Ce−x
y=2e−x+Cy = 2 e^{-x} + Cy=2e−x+C
y=2x+Cy = 2x + Cy=2x+C
y=2y = 2y=2