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.
$y\frac{dy}{dx}+xy^2=x^2y^{\frac{5}{3}}$
$\frac{dy}{dx}+xy=x^3y^{\frac{2}{3}}$ ___(2)
(2) is of the form (1) with $n=\frac{2}{3}$
That's why given differential equation is Bernoulli differential equation.
