Final answer to the problem
Step-by-step Solution
Specify the solving method
Factor the polynomial $x^2-3x^2y$ by it's greatest common factor (GCF): $x^2$
Learn how to solve classify algebraic expressions problems step by step online.
$\frac{dy}{dx}=x^2\left(1-3y\right)$
Learn how to solve classify algebraic expressions problems step by step online. Solve the differential equation dy/dx=x^2-3x^2y. 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 . Solve the integral \int\frac{1}{1-3y}dy and replace the result in the differential equation.