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Divide fractions $\frac{1}{\frac{1}{3y^2+1}}$ 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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$3y^2+1=\frac{x^2+1}{x^2}$
Learn how to solve problems step by step online. Solve the differential equation dyx^2=((x^2+1)dx)/(3y^2+1). Divide fractions \frac{1}{\frac{1}{3y^2+1}} 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}. Integrate both sides of the differential equation, the left side with respect to . Expand the integral \int\left(3y^2+1\right)dy into 2 integrals using the sum rule for integrals, to then solve each integral separately. Solve the integral \int3y^2dy+\int1dy and replace the result in the differential equation.