Question $14$

Given the following differential equation

$\frac{dy}{dx}-y=e^x{y}^2$

Apply Bernoulli's Equation, then solve the resulting Differential Equation for $"z".$ At this time, you do not have to go on and solve for $"y".$

$($A$)z=\frac{-1}{2}C$

$($B$)z=1C{e}^x$

$z=C{e}^x$

$z=\frac{-1}{2}{e}^{x}C{e}^{-x}$

$z=\frac{1}{2}{e}^{3x}C{e}^x.$

Solve please