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STATEMENT -1 : The differential equation...

STATEMENT -1 : The differential equation `(dy)/(dx) = (2xy)/(x^(2) + y^(2))` Can't be solved by the substitution x = vy.
and
STATEMENT-2 : When the differential equation is homogeneous of first order and first degree, then the substitution that solves the equation is y = vx.

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:
D
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