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Divide fractions $\frac{1}{\frac{1}{9y^2+2}}$ 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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$9y^2+2=\frac{6x^3+2x^2+5}{x}$
Learn how to solve problems step by step online. Solve the differential equation dy/dx=(6x^3+2x^2+5)/(x(9y^2+2)). Divide fractions \frac{1}{\frac{1}{9y^2+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}. Integrate both sides of the differential equation, the left side with respect to . Expand the integral \int\left(9y^2+2\right)dy into 2 integrals using the sum rule for integrals, to then solve each integral separately. Solve the integral \int9y^2dy+\int2dy and replace the result in the differential equation.