Solve y′=ex−yy' = e^x - yy′=ex−y given y(0)=1y(0)=1y(0)=1.
y=12ex+12e−xy = \frac{1}{2}e^x + \frac{1}{2}e^{-x}y=21ex+21e−x
y=ex−1y = e^{x-1}y=ex−1
y=ex+e−xy = e^x + e^{-x}y=ex+e−x
y=12exy = \frac{1}{2}e^xy=21ex