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- Exact Differential Equation
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Group the terms of the differential equation. Move the terms of the $b$ variable to the left side, and the terms of the $c$ variable to the right side of the equality
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$\frac{1}{b-b^2}db=dc$
Learn how to solve problems step by step online. Solve the differential equation db/dc=b-b^2. Group the terms of the differential equation. Move the terms of the b variable to the left side, and the terms of the c variable to the right side of the equality. Simplify the expression \frac{1}{b-b^2}db. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x. Solve the integral \int\frac{1}{b\left(1-b\right)}db and replace the result in the differential equation.