-1-6You can verify that y₁ = x¹, y₂ = x²and y₁ = = 6 are all solutions of the differential equationx² y + 10 x y" + 14 y' = 0in (0,+∞), Compute the wronskian of the solutions ₁, ₂, YzW(x) =x € (0, +∞0)IYes 1. Is {y1, 92, 93} a fundamental set for x²y" + 10 x y" + 14 y' = 0 in (0, +∞0)?

Answered: Image /qna-images/answer/ec90bde1-61b6-449b-b3c4-280fd9fd5830.jpg

Answered: x² y + 10 x y" + 14 y = 0 in (0, +∞).…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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)