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STATEMENT-1 : The solution of different...

STATEMENT-1 : The solution of differential equation `cos^(2)x.(dy)/(dx) - y tan 2x = cos^(4)x`, where `|x| lt (x)/(4)` and `y((pi)/(6)) = (3sqrt(3))/(8)` is `y = (sin 2x)/(2(1-tan^(2) x)`
and
STATEMENT-2 : The integrating factor of the given differential equation is `|(1- tan^(2)x)|`.

A

Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1.

B

Statement-1 is true, Statement-2 is true, Statement-2 is NOT a correct explanation for Statement-1.

C

Statement-1 is True, Statement-2 is False

D

Statement-1 is False, Statement-2 is True

Text Solution

Verified by Experts

The correct Answer is:
A
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