Consider the differental equation $\displaystyle y_{n+2} + a_n y_n= 0, a_n does not equal zero$. Let Un and Vn be nontrivial solutions of the D.E. Let $\displaystyle C_n = \left(\begin{array}{cc}U_n&V_n\\u_{n+1}&v_{n+1}\en d{array}\right)$. Show that $\displaystyle C_{n+1} = a_n C_n $ and write out the general solution of $\displaystyle C_{n+1} = a_n C_n $ since this equation is first order and linear.