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Divide fractions $\frac{1}{\frac{1}{y-2}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$
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$\frac{1}{y-1}\frac{1}{y-3}\left(y-2\right)=\frac{x-2}{\left(x+3\right)\left(x-1\right)}$
Learn how to solve problems step by step online. Solve the differential equation dy/dx=((y-1)(x-2)(y-3))/((x-1)(y-2)(x+3)). Divide fractions \frac{1}{\frac{1}{y-2}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Multiplying the fraction by \left(y-2\right)\frac{1}{y-3}. 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{y-2}{\left(y-3\right)\left(y-1\right)}dy and replace the result in the differential equation.