Final Answer
Step-by-step Solution
Specify the solving method
Eliminate the minus ($-$) sign from the differential by multiplying the whole differential equation by $-1$
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$\frac{dy}{dx}+3xy=-2$
Learn how to solve differential equations problems step by step online. Solve the differential equation (-x^2dy)/dx-3xy=2. Eliminate the minus (-) sign from the differential by multiplying the whole differential equation by -1. 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)=3x 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. So the integrating factor \mu(x) is.