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Question

Mathematics Question on Differential Equations

If the solution of xdydx+y=x3y6x\frac{dy}{dx}+y=x^3y^6 is 1yαxβ=γ2x2+C\frac{1}{y^\alpha x^\beta}=\frac{\gamma}{2x^2}+C, then value of α+β+γ\alpha+\beta+\gamma is

A

5

B

10

C

15

D

20

Answer

15

Explanation

Solution

The correct answer is(C): 15