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Mathematics Question on Solution of Differential Equations

The solution of the differential equationdydx=6x2;y(1)=3\frac{dy}{dx}= \frac{6}{x^2}; y(1) = 3 is:

A

y=9+6xy=9+\frac{6}{x}

B

y=9−6xy=9-\frac{6}{x}

C

y=−9+6xy=-9+\frac{6}{x}

D

y=−3−6xy=-3-\frac{6}{x}

Answer

y=9−6xy=9-\frac{6}{x}

Explanation

Solution

The correct option is (B):y=9−6xy=9-\frac{6}{x}