Find the particular solution of the differential equation `(dy)/(dx)=-4x y^2` given that `y=1,w h e nx=0.`

Explanation

To find the particular solution of the differential equation \(\frac{dy}{dx} = -4xy^2\) given that \(y = 1\) when \(x = 0\), we will follow these steps:

### Step 1: Separate the variables
We start by rewriting the equation to separate the variables \(y\) and \(x\):
\[ \frac{dy}{y^2} = -4x \, dx \]

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