Solved example of First order differential equations

Multiply both sides of the equation by $dx$

Integrate both sides, the left side with respect to $y$, and the right side with respect to $x$

The integral of a constant is equal to the constant times the integral's variable

Apply the power rule for integration, $\displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}$, where $n$ represents a constant function

Simplifying the fraction

As the integral that we are solving is an indefinite integral, when we finish we must add the constant of integration