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Divide all the terms of the differential equation by $5$

Learn how to solve differential equations problems step by step online.

$\frac{5}{5}\frac{dy}{dx}+\frac{4xy}{5}=\frac{10}{5}$

Learn how to solve differential equations problems step by step online. Solve the differential equation 5dy/dx+4xy=10. Divide all the terms of the differential equation by 5. 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)=\frac{4x}{5} and Q(x)=2. 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.

** Final answer to the problem

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