Given y1(t) = t² and y2(t) = t satisfy the corresponding homogeneous equation of 2y"-2y=-t-3, t> 0 Then the general solution to the non-homogeneous equation can be written as (t) = c1y1(t) + c2y2(t) + Y(t). Use variation of parameters to find Y(t). (t)=

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
Question
Given y1(t) = t2 and y2(t) = t¹ satisfy the corresponding homogeneous equation of
ty"-2y=-t-3, t> 0
Then the general solution to the non-homogeneous equation can be written as
y(t) = cıyı(t) + c2y2(t) +Y(t).
Use variation of parameters to find Y(t).
Y(t) =
Transcribed Image Text:Given y1(t) = t2 and y2(t) = t¹ satisfy the corresponding homogeneous equation of ty"-2y=-t-3, t> 0 Then the general solution to the non-homogeneous equation can be written as y(t) = cıyı(t) + c2y2(t) +Y(t). Use variation of parameters to find Y(t). Y(t) =
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