Form the differential equation from the following primitives where constants are arbitrary:`y=a x^2+b x+c`

Explanation

To form the differential equation from the given primitive \( y = ax^2 + bx + c \), where \( a, b, c \) are arbitrary constants, we will follow these steps:

### Step 1: Differentiate the equation with respect to \( x \)
We start with the equation:
\[ y = ax^2 + bx + c \]
Now, we differentiate \( y \) with respect to \( x \):
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