JEE Advanced Mathematics question

Mathematics Differential Equation JEE Advanced

The solution of primitive integral equation is . If and then is

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

is homogeneous. Put :

v+x=\ ⇒\ x=-\ ⇒\ (+1v)dv=-.

Integrating: \dfrac{1}{2v^2}\log\l$

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Question ID VK-109609