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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
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$\frac{1}{-3y}dy=dx$
Learn how to solve equazioni differenziali problems step by step online. dy/dx=-3y. 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. Apply the formula: b\cdot dy=dx\to \int bdy=\int1dx, where b=\frac{1}{-3y}. Solve the integral \int\frac{1}{-3y}dy and replace the result in the differential equation. Solve the integral \int1dx and replace the result in the differential equation.