hi there looking for some help

Consider the variable coefficient ODE 2923;\" 5333/ +83; = 0, a: > 0. 4 You are given that one solution is y1 2 cc . Let the other solution be 312(93) = 11/1 (aws)- (a) Use reduction of order to obtain an ODE for w(::c) : u' (:13). The ODE for w(m) is d3: 2.31; (b) A solution to the ODE in (a) is You must simplify your answer as much as possible. Consider the initial value problem :9\" 92/ + 20y z 0, y(0) = 0, m0) = 1 (a) Let y = 6)\"? (b) The roots of the characteristic equation are A=-nl Separate values with a comma. Use capital | for 3/ 1. . The characteristic equation is (c) A general solution is y=-nn You must use capitial A and capital B as your constants of integration. Use real-valued functions. (d) The solution of the initial value problem is y=-nn