of the formy₁ =(1+₁+ a₂²+az³ + ...)3₂ = x2(1+b₁x + b₂x² + b₂x³ + ...)where T₁ > T2-EnterFind two linearly independent solutions of 2x²y" - xy + (2x+1)y=0, z>0T1 101 =a₂=03 =T2= 1/2b₁ =b₂ =b3 =

Answered: Image /qna-images/answer/3b26a114-a9f5-48aa-9a2d-645e448742ed.jpg

Answered: of the form y₁ = (1+₁2+ a₂x² + 3x³ +…

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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Are the functions f, g, and h given below linearly independent? f(x) = e", g(x) = xe*", h(x) = x²e3". If they are independent, enter all zeroes. If they are not linearly independent, find a nontrivial solution to the equation below. Be sure you can justify your answer. (e3) + (xešr) + (z?e3z) = 0. help (numbers)
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of the form y₁ = (1+₁2+ a₂x² + 3x³ + ...) 32 = x2(1+b₁x + b₂x² + b₂x³ + ...) where T₁ > T2- Enter Find two linearly independent solutions of 2x²y" - xy + (2x+1)y=0, z>0 T1 1 a₁ = 9₂= 03 = T2 1/2 b₁ = b₂ == b3 =