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- Exact Differential Equation
- Linear Differential Equation
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- Homogeneous Differential Equation
- Integrate by partial fractions
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- FOIL Method
- Integrate by substitution
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Rewrite the differential equation using Leibniz notation
Learn how to solve integration by trigonometric substitution problems step by step online.
$xy\frac{dy}{dx}=x^2+3y^2$
Learn how to solve integration by trigonometric substitution problems step by step online. Solve the differential equation xyy^'=x^2+3y^2. Rewrite the differential equation using Leibniz notation. Rewrite the differential equation. We can identify that the differential equation \frac{dy}{dx}=\frac{x^2+3y^2}{xy} is homogeneous, since it is written in the standard form \frac{dy}{dx}=\frac{M(x,y)}{N(x,y)}, where M(x,y) and N(x,y) are the partial derivatives of a two-variable function f(x,y) and both are homogeneous functions of the same degree. Use the substitution: y=ux.