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- Exact Differential Equation
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- Integrate by partial fractions
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- FOIL Method
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Multiplying the fraction by $1$
Learn how to solve integrals of rational functions problems step by step online.
$\frac{dy}{dx}=\frac{\frac{9x}{1+x^2}}{y}$
Learn how to solve integrals of rational functions problems step by step online. Solve the differential equation dy/dx=((9x)/(1+x^2)1)/y. Multiplying the fraction by 1. Divide fractions \frac{\frac{9x}{1+x^2}}{y} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. 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. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.