Q .     The solution of `(d^(2) x)/dy^(2) -x =k` where `k`
is a non-zero constant, vanishes when `y = 0` and
tends of finite limit as y tends to infinity, is

VIT 2015
A

`x =k (1 +e^(-y))`

B

`x =k(e^(y) +e^(-y) -2)`

C

`x= k(e^(-y) -1)`

D

`x = k(e^(y) -1)`

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