You can verify that y₁ = X -2 ², Y₂ = x² -5 Yes and Y3 = 2 are all solutions of the differential equation x² y" + 10 x y" + 18 y' = 0 in (0, +∞). Compute the wronskian of the solutions y₁, y², Yz W(x) = x = (0, +∞) 1. Is {y₁, y2, Y3} a fundamental set for x² y" + 10 x y" + 18 y′ = 0 in (0, +∞)?
You can verify that y₁ = X -2 ², Y₂ = x² -5 Yes and Y3 = 2 are all solutions of the differential equation x² y" + 10 x y" + 18 y' = 0 in (0, +∞). Compute the wronskian of the solutions y₁, y², Yz W(x) = x = (0, +∞) 1. Is {y₁, y2, Y3} a fundamental set for x² y" + 10 x y" + 18 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
Related questions
Question
![-2
-5
You can verify that y₁ = x−², y₂ : = X and Y3
=
2 are all solutions of the differential equation
Yes
2
x² y"" + 10 x y" + 18 y' = 0
in (0, +∞). Compute the wronskian of the solutions y₁, Y2, Yz
W(x) =
x € (0, +∞)
1. Is {y₁, Y2, Y3} a fundamental set for x² y"" + 10 x y" + 18 y' = 0 in (0, +∞)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F008f31aa-ffde-472d-81b9-49fb75f4a0c2%2F761c91b1-2009-4fc0-825e-7bdc682ba64b%2Fnqbf7d_processed.png&w=3840&q=75)
Transcribed Image Text:-2
-5
You can verify that y₁ = x−², y₂ : = X and Y3
=
2 are all solutions of the differential equation
Yes
2
x² y"" + 10 x y" + 18 y' = 0
in (0, +∞). Compute the wronskian of the solutions y₁, Y2, Yz
W(x) =
x € (0, +∞)
1. Is {y₁, Y2, Y3} a fundamental set for x² y"" + 10 x y" + 18 y' = 0 in (0, +∞)?
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