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Find the particular solution of log (dy/...

Find the particular solution of `log (dy/dx)= 2 x + 3y` given that `x = 0, y= 0`.

A

`- (1)/(3) e^(-3y) = (1)/(2) e^(2x) - (5)/(6)`

B

`- (1)/(2) e^(-3y) = (1)/(3) e^(2x) - (5)/(6)`

C

`- (1)/(3) e^(-3y) = (1)/(4) e^(2x) - (5)/(6)`

D

`- (1)/(4) e^(-3y) = (1)/(3) e^(2x) - (5)/(6)`

Text Solution

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The correct Answer is:
A
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