the answer to the given question is c. how?
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Step-by-step explanation:
The equation here is,
x²+y²+2gx+2fy+c= 0
which is a quadratic equation.
We need to find differential equation of the same.
In order to do so, we differentiate the given equation with respect to x.
If you observe, here x and y are variables and f, g, c are constants.
To find a differential equation, we need to eliminate constant terms.
Since there are 3 constants, we can differentiate it 3 times and hence d³y/dx³ shall be obtained as a term.
Order of a differential equation is the highest power of (dy/dx) which is 3 in this case.
Hence, the answer here is 3.
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