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Rewrite the differential equation using Leibniz notation
Learn how to solve differential equations problems step by step online.
$\frac{dx}{dy}=x-2y$
Learn how to solve differential equations problems step by step online. Solve the differential equation x^'=x-2y. Rewrite the differential equation using Leibniz notation. Rearrange the differential equation. 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(y)=-1 and Q(y)=-2y. In order to solve the differential equation, the first step is to find the integrating factor \mu(x). To find \mu(y), we first need to calculate \int P(y)dy.