Answer
True
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.
$\Large\frac{dy}{dx}$=$\sqrt{x}y+\sqrt{xy}$
$\Large\frac{dy}{dx}$ $-\sqrt{x}y=\sqrt{x}y^{\frac{1}{2}}$ ___(2)
Differential equation (2) is of the form of equation (1) with $n=\frac{1}{2}$
That's why (2) is Bernoulli differential equation.
