The reduction of order formula (13) can also be derived from Abels’ identity (Problem 32). Let f(t) be a nontrivial solution to (10) and y(t) a second linearly independent solution. Show that
and then use Abel’s identity for the Wronskian W[ f, y] to obtain the reduction of order formula.
Intro to Philosophy Dugald Owen 08/30/16 Philosophy- Study of questions that can only be answered through reflection. Areas in Philosophy- Metaphysics- o The study of what is real The nature of a person Mind-Body relation God’s existence Nature of space and time Value theory- o Ethics of political theories and aesthetics How should we treat others What is the good life What form of government Is best Epistemology- o Theory of knowledge and limits of what we know Do we even have knowledge What is knowledge Metaphyiscal – Personal Identity