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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.

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 For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 1CR
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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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