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x² y + 10 x y" + 14 y = 0 in (0, +∞). Compute the wronskian of the solutions ₁ Yr Ys W(x) = * € (0, +∞0)

x² y + 10 x y" + 14 y = 0 in (0, +∞). Compute the wronskian of the solutions ₁ Yr Ys W(x) = * € (0, +∞0)

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 12CR
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-1 -6 You can verify that y₁ = x¹, y₂ = x² and y₁ = = 6 are all solutions of the differential equation x² y + 10 x y" + 14 y' = 0 in (0,+∞), Compute the wronskian of the solutions ₁, ₂, Yz W(x) = x € (0, +∞0) I Yes 1. Is {y1, 92, 93} a fundamental set for x²y" + 10 x y" + 14 y' = 0 in (0, +∞0)?
Transcribed Image Text:-1 -6 You can verify that y₁ = x¹, y₂ = x² and y₁ = = 6 are all solutions of the differential equation x² y + 10 x y" + 14 y' = 0 in (0,+∞), Compute the wronskian of the solutions ₁, ₂, Yz W(x) = x € (0, +∞0) I Yes 1. Is {y1, 92, 93} a fundamental set for x²y" + 10 x y" + 14 y' = 0 in (0, +∞0)?
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