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Step-by-step Solution
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Group the terms of the differential equation. Move the terms of the $y$ variable to the left side, and the terms of the $x$ variable to the right side of the equality
Learn how to solve differential equations problems step by step online.
$\frac{1}{y^3+y}dy=dx$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx=y^3+y. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Simplify the expression \frac{1}{y^3+y}dy. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x. Solve the integral \int\frac{1}{y\left(y^2+1\right)}dy and replace the result in the differential equation.