(19) (a) Suppsoe that y is a solution of the differential equation ay" + by+cy 0. Let z(2) = y(r - ro) where ro is an arbitrary real mumber. Show that a:" + b'+ez 0. (b) Let a(r) = y(r – xo) and s2(2)...

Extracted text: (19) (a) Suppsoe that y is a solution of the differential equation ay" + by+cy 0. Let z(2) = y(r - ro) where ro is an arbitrary real mumber. Show that a:" + b'+ez 0. (b) Let a(r) = y(r – xo) and s2(2) = v2(x - ro), where vG = Cn + can is the general solution to ap by +cy=0. Show that zG = +a is also a general solution of ay" + by + cy 0.