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- Exact Differential Equation
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- Homogeneous Differential Equation
- Integrate by partial fractions
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- FOIL Method
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Rearrange the differential equation
Learn how to solve differential equations problems step by step online.
$\frac{dy}{dx}-\left(y-1\right)=e^{2x}$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx=e^(2x)+y+-1. 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)=e^{2x}. 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.