Final Answer
Step-by-step Solution
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We need to isolate the dependent variable , we can do that by simultaneously subtracting $2xy$ from both sides of the equation
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$\frac{dy}{dx}=y-2+4x-2xy$
Learn how to solve factor problems step by step online. Solve the differential equation dy/dx+2xy=y-24x. We need to isolate the dependent variable , we can do that by simultaneously subtracting 2xy from both sides of the equation. Rearrange the differential equation. 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)=-1 and Q(x)=-2. In order to solve the differential equation, the first step is to find the integrating factor \mu(x).