## Final Answer

## Step-by-step Solution

Problem to solve:

Specify the solving method

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.

$\frac{1}{y^3}dy=x^2dx$

Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx=x^2y^3. 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}dy. Any expression multiplied by 1 is equal to itself. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x.