Show that, if y, is a solution to a differential equation of the form y"+P(x)y' + Q(x)y = 0, then, a second linearly independent solution is given by: - S P(x)dx –dx Y2 = y1(x) yỉ (x) You can use the derivation shown in the textbook (section 3.2) as a guide, but understand the process as you write.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Problem B.6
Show that, if y, is a solution to a differential equation of the form y" + P(x)y' + Q(x)y = 0, then, a second
linearly independent solution is given by:
y2 = Y1(x) ]yf (x)
e-S P(x)dx
-dx
yỉ (x)
You can use the derivation shown in the textbook (section 3.2) as a guide, but understand the process as you write.
Transcribed Image Text:Problem B.6 Show that, if y, is a solution to a differential equation of the form y" + P(x)y' + Q(x)y = 0, then, a second linearly independent solution is given by: y2 = Y1(x) ]yf (x) e-S P(x)dx -dx yỉ (x) You can use the derivation shown in the textbook (section 3.2) as a guide, but understand the process as you write.
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