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Question

Mathematics Question on Logarithmic Differentiation

Find the general solution of the differential equation: dxx+dyy=0\frac{dx}{x}+\frac{dy}{y}=0

A

1x+1y=C1x+C2\frac{1}{x}+\frac{1}{y}=C_1x+C_2

B

logx+logy=c1+c2

C

xy=c

D

x+y=c

Answer

xy=c

Explanation

Solution

The correct option is(C): xy=3