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- Exact Differential Equation
- Linear Differential Equation
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- Integrate by partial fractions
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- FOIL Method
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Divide all the terms of the differential equation by $2x$
Learn how to solve integrals of polynomial functions problems step by step online.
$\frac{2x}{2x}\frac{dy}{dx}+\frac{y}{2x}=\frac{3x^2}{2x}$
Learn how to solve integrals of polynomial functions problems step by step online. Solve the differential equation dy/dx2x+y=3x^2. Divide all the terms of the differential equation by 2x. 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}{2x} and Q(x)=\frac{3x}{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.
