This differential equation is a first-order linear ordinary differential equation that can be solved using an integrating factor. The integrating factor for equations of the form is given by . Here, , and the integrating factor turns out to be . Multiplying the entire equation by allows you to combine terms conveniently.

Now let’s solve the equation! By integrating, the solution can be found with some algebraic manipulation and integration techniques. Don’t forget to verify your solution by substituting it back into the original equation to ensure it satisfies all terms!