# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

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

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

$\left(4y+yx^2\right)dy=\left(2x+xy^2\right)dx$

Learn how to solve differential equations problems step by step online. Solve the differential equation (4y+yx^2)dy-(2x+xy^2)*dx=0. Grouping the terms of the differential equation. Grouping all terms to the left side of the equation. Solve the product \left(4y+yx^2\right)dy. Solve the product -\left(2x+xy^2\right)dx.

$y=\frac{4}{x}+C_0$

### Problem Analysis

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

### Main topic:

Differential equations

~ 0.13 seconds