(Solved): I need help with part d please. It keeps saying I'm not doing something right. (1 point) Suppose \( ...

(1 point) Suppose \( y=c_{1} e^{k x}+c_{2} e^{-k x} \) where \( k>0 \) is a constant, and \( c_{1} \) and \( c_{2} \) are arbitrary constants. Find the following. Enter \( c_{1} \) as \( c_{1} \) and \( c_{2} \) as c2. a. \( \frac{d y}{d x}= \) help (formulas) b. \( \frac{d^{2} y}{d x^{2}}= \) help (formulas) c. Rewrite your answer to the previous part in terms of \( y \). \( \frac{d^{2} y}{d x^{2}}= \) help (formulas) d. Find the general solution to \( \frac{d^{2} y}{d x^{2}}=16 y \). Enter your answer as an equation \( y=\ldots \) help (equations)