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 will follow these steps:

### Step 1: Rearranging the Equation
We start by rearranging the equation to separate the variables \( y \) and \( x \).

\[ \frac{dy}{dx} = -\frac{y^5}{x^5} \]
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