Find the differential equation representing the family of curves `y=ae^(bx+5)`, where a and b are arbitrary constants.

Explanation

To find the differential equation representing the family of curves given by the equation \( y = ae^{bx + 5} \), where \( a \) and \( b \) are arbitrary constants, we will follow these steps:

### Step 1: Differentiate the given equation
We start with the equation:
\[ y = ae^{bx + 5} \]
Differentiating both sides with respect to \( x \):
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