Final Answer
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We need to isolate the dependent variable , we can do that by simultaneously subtracting $3x^2y$ from both sides of the equation
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$\frac{dy}{dx}=x^2-3x^2y$
Learn how to solve problems step by step online. Solve the differential equation dy/dx+3x^2y=x^2. We need to isolate the dependent variable , we can do that by simultaneously subtracting 3x^2y from both sides of the equation. Factor the polynomial x^2-3x^2y by it's greatest common factor (GCF): x^2. 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 .