$\frac{d}{d}-N^2=0,$;$,BC1$:$(=1)=1$

$,BC2$:$\frac{d}{d}{|}_{}=1=0$

And obtained the general solution below:

$()=C_1{e}^N+C_2{e}^{-N}$

$($a$)$ Apply the boundary conditions to determine the form of the integration constants $C_1$ and

$C_2$