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Step-by-step Solution
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Factor the polynomial $x-4xy$ by it's greatest common factor (GCF): $x$
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$\frac{c\cdot dy}{dx}=x\left(1-4y\right)$
Learn how to solve problems step by step online. Solve the differential equation (cdy)/dx=x-4xy. Factor the polynomial x-4xy 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}{1-4y}dy and replace the result in the differential equation.