Final answer to the problem
Step-by-step Solution
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Factor the polynomial $2xy+x$ by it's greatest common factor (GCF): $x$
Learn how to solve differential equations problems step by step online.
$\frac{dy}{dx}=x\left(2y+1\right)$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx=2xy+x. Factor the polynomial 2xy+x by it's greatest common factor (GCF): x. 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 . Solve the integral \int\frac{1}{2y+1}dy and replace the result in the differential equation.