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If y(x) is solution of differential equa...

If `y(x)` is solution of differential equation satisfying `(dy)/(dx)+((2x+1)/x)y=e^(-2x), y(1)=1/2e^(-2)` then (A) `y(log_e2)=log_e2` (B) `y(log_e2)=(log_e2)/4` (C) `y(x)` is decreasing is `(0,1)` (D) `y(x)` is decreasing is `(1/2,1)`

A

y(x) is decreasing in (0,1)

B

y(x) is decreasing in `(1/2,1)`

C

`y(log_e2)=(log_e2)/4`

D

`y(log_e2)=log_2 4`

Text Solution

Verified by Experts

The correct Answer is:
B
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