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Question

Mathematics Question on types of differential equations

If the equation of the normal to the curve 𝑦=𝑥𝑎(𝑥+𝑏)(𝑥2)𝑦= 𝑥−𝑎 (𝑥+𝑏)(𝑥−2) at the point (1,3)(1,−3) is 𝑥4𝑦=13𝑥−4𝑦=13, then the value of 𝑎+𝑏𝑎+𝑏 is equal to ___ .

Answer

The answer is -6.