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Group the terms of the equation
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$3dy=-\left(\frac{3y}{x}-8\right)dx$
Learn how to solve equazioni differenziali problems step by step online. ((3y)/x-8)dx+3dy=0. Group the terms of the equation. Apply the formula: mx=ny\to \frac{m}{mcd\left(m,n\right)}x=\frac{n}{mcd\left(m,n\right)}y, where x=dy, y=\left(\frac{3y}{x}-8\right)dx, mx=ny=3dy=-\left(\frac{3y}{x}-8\right)dx, mx=3dy, ny=-\left(\frac{3y}{x}-8\right)dx, m=3 and n=-1. Combine all terms into a single fraction with x as common denominator. Apply the formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, where a=-1, b=3, c=3y-8x, a/b=-\frac{1}{3}, f=x, c/f=\frac{3y-8x}{x} and a/bc/f=-\frac{1}{3}\frac{3y-8x}{x}dx.