Final answer to the problem
Step-by-step Solution
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- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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We need to isolate the dependent variable $y$, we can do that by simultaneously subtracting $x\cdot dx$ from both sides of the equation
Learn how to solve differential calculus problems step by step online.
$y\cdot dy=3xy^2dx-x\cdot dx$
Learn how to solve differential calculus problems step by step online. Solve the differential equation ydy+xdx=3xy^2dx. We need to isolate the dependent variable y, we can do that by simultaneously subtracting x\cdot dx from both sides of the equation. Factor the polynomial 3xy^2dx-x\cdot dx by it's greatest common factor (GCF): x\cdot dx. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.