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Multiplying the fraction by $dy$
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$\frac{\frac{x^2dy}{y^2-6}}{dx}=\frac{1}{2y}$
Learn how to solve problems step by step online. Solve the differential equation ((x^2)/(y^2-6)dy)/dx=1/(2y). Multiplying the fraction by dy. Divide fractions \frac{\frac{x^2dy}{y^2-6}}{dx} 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}. Divide fractions \frac{1}{\frac{1}{2y}} 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 2y.