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