Find the general solution of the differential equations `x^5(dy)/(dx)=-y^5`

Explanation

To solve the differential equation \( x^5 \frac{dy}{dx} = -y^5 \), we can follow these steps:

### Step 1: Rewrite the equation
We start with the given equation:
\[ x^5 \frac{dy}{dx} = -y^5 \]
We can separate the variables by rearranging the equation:
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