Final Answer
Step-by-step Solution
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Multiply the single term $\frac{dy}{dx}$ by each term of the polynomial $\left(y^2-2y\right)$
Learn how to solve differential equations problems step by step online.
$y^2\frac{dy}{dx}-2y\left(\frac{dy}{dx}\right)=x$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx(y^2-2y)=x. Multiply the single term \frac{dy}{dx} by each term of the polynomial \left(y^2-2y\right). Factor the polynomial y^2\frac{dy}{dx}-2y\left(\frac{dy}{dx}\right) by it's greatest common factor (GCF): y\frac{dy}{dx}. Rewrite the differential equation. Rewrite the differential equation in the standard form M(x,y)dx+N(x,y)dy=0.