Question

Dy/dx=e^xy find solution

Answer 1

`(\mathrm dy)/(\mathrm dx)=e^xy`

`\frac{\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)`