Solve y′=exyy' = \frac{e^x}{y}y′=yex with y(0)=1y(0) = 1y(0)=1.
y=2ex−1y = \sqrt{2e^x - 1}y=2ex−1
y=2exy = \sqrt{2e^x}y=2ex
y=ex/2y = e^{x/2}y=ex/2
y=exy = e^xy=ex