Consider the following differential equation.

$\frac{dy}{dx}=y^{\frac{4}{5}}$

Let $f(x,y)=y^{\frac{4}{5}}.$ Find the derivative of $f.$

$\frac{\text{d}\text{e}\text{l}\text{f}}{\text{d}\text{e}\text{l}\text{y}}=$

$$

Determine a region of the $xy-$plane for which the given differential equation would hav

There is a unique solution in any rectangular region excluding the origin.

There is a unique solution in any rectangular region where

There is a unique solution in the entire $xy-$plane.

There is a unique solution in any rectangular region where $y0.$

There is a unique solution in any rectangular region where $x0.$