Obtain the differential equation by eliminating the arbitrary constants from the following equation :
` y = c_(1) e^(2 x) + c_(2) e^(-2x).`

Explanation

To obtain the differential equation by eliminating the arbitrary constants from the given equation \( y = c_1 e^{2x} + c_2 e^{-2x} \), we will follow these steps:

### Step 1: Differentiate the equation with respect to \( x \)
We start with the original equation:
\[ y = c_1 e^{2x} + c_2 e^{-2x} \]
Now, we differentiate both sides with respect to \( x \):
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