Solve the differential equation $y\cos\left(x\right)-\cos\left(x\right)+\frac{dy}{dx}=0$

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$y\cos\left(x\right)+\frac{dy}{dx}=\cos\left(x\right)$

Learn how to solve integration by substitution problems step by step online. Solve the differential equation ycos(x)-cos(x)dy/dx=0. Group the terms of the 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(x)=\cos\left(x\right) and Q(x)=\cos\left(x\right). 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.