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- Equation différentielle exacte
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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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$\frac{1}{\left(y-2\right)^2}dy=\frac{x}{3}dx$
Learn how to solve problems step by step online. dy/dx=1/3x(y-2)^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. Apply the formula: b\cdot dy=a\cdot dx\to \int bdy=\int adx, where a=\frac{x}{3}, b=\frac{1}{\left(y-2\right)^2}, dyb=dxa=\frac{1}{\left(y-2\right)^2}dy=\frac{x}{3}dx, dyb=\frac{1}{\left(y-2\right)^2}dy and dxa=\frac{x}{3}dx. Solve the integral \int\frac{1}{\left(y-2\right)^2}dy and replace the result in the differential equation. Solve the integral \int\frac{x}{3}dx and replace the result in the differential equation.
