(19) (a) Suppsoe that y is a solution of the differential equation ay" + by + cy = 0. Let :(2) = y(1 - ro) where ro is an arbitrary real number. Show that a:" + b:' + ez 0. (b) Let 1(2) = (r - ro) and...

Extracted text: (19) (a) Suppsoe that y is a solution of the differential equation ay" + by + cy = 0. Let :(2) = y(1 - ro) where ro is an arbitrary real number. Show that a:" + b:' + ez 0. (b) Let 1(2) = (r - ro) and z2(r) = y2(r - ro), where NG = Cn + c22 is the general solution to ay" + byf +cy = 0. Show that G = 1 +22 is also a general solution of ay" + by + cy 0.