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Expand the fraction $\frac{y+1}{x}$ into $2$ simpler fractions with common denominator $x$
Learn how to solve differential equations problems step by step online.
$\frac{dy}{dx}=\frac{y}{x}+\frac{1}{x}$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx=(y+1)/x. Expand the fraction \frac{y+1}{x} into 2 simpler fractions with common denominator x. 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)=\frac{-1}{x} and Q(x)=\frac{1}{x}. In order to solve the differential equation, the first step is to find the integrating factor \mu(x).