Question: how to find coefficients: three conditions three unknowns

suppose we want to find a curve

a * x * y + y + b * x + c = 0

given the following conditions:

y(x) = f(x)  and y'(x) = f'(x) and y(m)= f(m)

how to find a , b and c in terms of f, f'...

 

 

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