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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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Group the terms of the differential equation. Move the terms of the $x$ variable to the left side, and the terms of the $y$ variable to the right side of the equality
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$\frac{1}{x}dx=\left(y+1\right)dy$
Learn how to solve problems step by step online. Solve the differential equation dx/dy=(y+1)x. Group the terms of the differential equation. Move the terms of the x variable to the left side, and the terms of the y variable to the right side of the equality. Integrate both sides of the differential equation, the left side with respect to . Expand the integral \int\left(y+1\right)dy into 2 integrals using the sum rule for integrals, to then solve each integral separately. Solve the integral \int\frac{1}{x}dx and replace the result in the differential equation.