Final answer to the problem
Step-by-step Solution
Specify the solving method
Divide fractions $\frac{1}{\frac{y^2+1}{y}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$
Learn how to solve problems step by step online.
$\frac{y}{y^2+1}=\frac{1}{\sec\left(x\right)^2}$
Learn how to solve problems step by step online. Solve the differential equation (y^2+1)dx=ysec(x)^2dy. Divide fractions \frac{1}{\frac{y^2+1}{y}} 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 . Solve the integral \int\frac{y}{y^2+1}dy and replace the result in the differential equation. Solve the integral \int\cos\left(x\right)^2dx and replace the result in the differential equation.