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Rewrite the differential equation using Leibniz notation
Learn how to solve factor problems step by step online.
$x\frac{dy}{dx}+y=e^x$
Learn how to solve factor problems step by step online. Solve the differential equation xy^'+y=e^x. Rewrite the differential equation using Leibniz notation. Divide all the terms of the differential equation by x. 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{1}{x} and Q(x)=\frac{e^x}{x}. In order to solve the differential equation, the first step is to find the integrating factor \mu(x).