dy/dx=e^xy find solution
\(\dfrac{\mathrm dy}{\mathrm dx}=e^xy\)\(\dfrac{\mathrm dy}y=e^x\,\mathrm dx\)\(\displaystyle\int\frac{\mathrm dy}y=\int e^x\,\mathrm dx\)\(\ln|y|=e^x+C\)\(y=e^{e^x+C}=Ce^{e^x}\)