Let Ly)= x²y"- x(x+2)4'+ (X+2)yas Consider the homogeneous diffeuntial equation, Lly)=0(*)is show that yax on Coroo)wa solwhion of #)oü) solwe (*),b) Solue! hC4) =x*

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Answered: Let Ly)= x²y"- x(x+2)4'+ (X+2)y as…

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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Q5.4 Let Lcg) (^) 4y) =an you? (x) where the be the following: (n-1) nth + + an-ly Aos Air order Suppose you know 9 2x I 4(y) Ly) = sẻ cosxxẻ xe an linear 2x 2x that: Ly()] = 3 xe when when L[Y₂ (x)] = 7e²x sinxe L[y₂ (x)] = 6e ²x cos x when 2x our e (x) (*) + constants Consider differential equation Find a particular solution be a symbolic function of x any decimals. contain any (x) + a₂ y(x) ал 9, (х) = 6 же ча в 4₂(x) = 14e²x cos x уг 2x 22 93 (x) = 54e²x Cos x + 108€ ²³" sinxe to (*). Your answer should and must not
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Let Ly)= x²y"- x(x+2)4'+ (X+2)y as Consider the homogeneous diffeuntial equation, Lly)=0 (*) is show that yax on Coroo) wa solwhion of #) oü) solwe (*), b) Solue! hC4) =x*

Let Ly)= x²y"- x(x+2)4'+ (X+2)y as Consider the homogeneous diffeuntial equation, Lly)=0 () is show that yax on Coroo) wa solwhion of #) oü) solwe (), b) Solue! hC4) =x*