** Final Answer

**

** Step-by-step Solution **

** Specify the solving method

**

**

Grouping the terms of the differential equation

Learn how to solve differential equations problems step by step online.

$\left(1+x^4\right)dy=0-x\left(1+4y^2\right)dx$

Learn how to solve differential equations problems step by step online. Solve the differential equation (1+x^4)dy+x(1+4y^2)dx=0. Grouping the terms of the differential equation. x+0=x, where x is any expression. 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{-x}{1+x^4}dx.

** Final Answer

**