Show that if y1 is a solution ofy + p1(t)y + p2(t)y + p3(t)y = 0,then the substitution y = y1(t)v(t) leads to the following second order equation for v:y1v + (3y1 + p1y1)v + (3y1 + 2p1y1 + p2y1)v = 0.

M303 Section 1.8 Notes- Introduction to Linear Maps/Transformations 9-19-16 n If A is m×n matrix, them for any vector xϵR , mulmiplication by A produces new vector A x ϵR ; if we regard vectors in R as inputs on...