4y" - 4y + y = ex/² √/1-x² +²" - 3ta' + 3y = +4 + > 0. (Note: this is a nonhomogeneous Euler-Cauchy equation - you have
4y" - 4y + y = ex/² √/1-x² +²" - 3ta' + 3y = +4 + > 0. (Note: this is a nonhomogeneous Euler-Cauchy equation - you have
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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Pls solve this question correctly instantly in 5 min i will give u 3 like for sure

Transcribed Image Text:Solve the following ODEs using variation of parameters.
(a) 4y" - 4y + y = e²/²√1-x²
(b) t²y" - 3ty' + 3y = t¹, t > 0. (Note: this is a nonhomogeneous Euler-Cauchy equation you have seen homogeneous
versions of these)
(c) y" - 2y + y =
6ex
1+x²
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