Separable Differential Equations: Exponential Models

There is really not much difference between the separable differential equations from the previous section and separable differential equations that are exponential models. The main difference boils down to the fact that when you find your antiderivatives with these new problems the result of the antiderivative will either be an $e^x$ equation or an $\mathit{ln}\left(x\right)$ equation. This means that when solving the results of the antiderivative to get your dependent variable ( y -variable) alone on one side of the equals, you may need to apply some Laws of Logarithms and some Laws of Exponents .