Find the Particular Solution of the Differential Equation $y^{\prime \prime}-25 y=0$

Multiple Choice

Find the particular solution of the differential equation $y^{\prime \prime}-25 y=0$ if $y=5$ and $y^{\prime}=2$ when $x=0$ .

A) $y=0.4 \sin 5 x+5 \cos 5 x$
B) $y=2.3 e^{5 x}+2.7 e^{-5 x}$
C) $y=2.7 e^{5 x}+2.3 e^{-5 x}$
D) $y=5 \sin 5 x+0.4 \cos 5 x$