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- Exact Differential Equation
- Linear Differential Equation
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- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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Grouping the terms of the differential equation
Learn how to solve integrals involving logarithmic functions problems step by step online.
$y^2dy=\frac{x^3+y^3}{x}dx$
Learn how to solve integrals involving logarithmic functions problems step by step online. Solve the differential equation xy^2dy=(x^3+y^3)dx. Grouping the terms of the differential equation. Divide both sides of the equation by d. Rewrite the differential equation. We can identify that the differential equation \frac{dy}{dx}=\frac{x^3+y^3}{xy^2} 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.