Solve y′+2y=4y' + 2y = 4y′+2y=4 given y(0)=1y(0)=1y(0)=1.
y=2−e−2xy = 2 - e^{-2x}y=2−e−2x
y=2+e−2xy = 2 + e^{-2x}y=2+e−2x
y=4−3e−2xy = 4 - 3e^{-2x}y=4−3e−2x
y=2−2e−2xy = 2 - 2e^{-2x}y=2−2e−2x