Answer
False
Work Step by Step
Definition:- Differential equation that can be written in the form
$\Large\frac{dy}{dx}$+$p(x)y=q(x)y^n$ ____(1)
$n$ is real constant
is called a Bernoulli equation.
$\Large\frac{dy}{dx}$ $-e^{xy}y=5x\sqrt{y}$ ____(1)
According to definition of Bernoulli differential equation $p$ should be function of $x$ only but $-e^{xy}$ is not function of $x$ only
That's why (1) is not Bernoulli differential equation.\gt