Final Answer
Step-by-step Solution
Specify the solving method
Divide all the terms of the differential equation by $3$
Learn how to solve integrals of exponential functions problems step by step online.
$\frac{3}{3}\frac{dy}{dx}+\frac{12y}{3}=\frac{4}{3}$
Learn how to solve integrals of exponential functions problems step by step online. Solve the differential equation 3dy/dx+12y=4. Divide all the terms of the differential equation by 3. Simplifying. We can identify that the differential equation has the form: \frac{dy}{dx} + P(x)\cdot y(x) = Q(x), so we can classify it as a linear first order differential equation, where P(x)=4 and Q(x)=\frac{4}{3}. In order to solve the differential equation, the first step is to find the integrating factor \mu(x). To find \mu(x), we first need to calculate \int P(x)dx.