Use var of par to find a particular solution yp of ( 1² - ²1 ) y = t t₂ t² (y") + t (y') + t²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Please help solve this problem and simplify final answer. It says to assume that t^(-1/2)cos(t) and t^(-1/2)sin(t) solve the homogenous equation.

Use var of par to find a particular solution y, of
(t² - ²√) y = 1²³
t₂
t² (y") + t (y') + t²
Transcribed Image Text:Use var of par to find a particular solution y, of (t² - ²√) y = 1²³ t₂ t² (y") + t (y') + t²
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