Applying variation of parameters to the DE: y" - y = e +e-, we get the following system of equations: uj e + u,e- = 0 u e – uhe- = et +e¯ª What are u1 and u2? (U1 and u2 are functions of x.) -2x O u1 =r - e 2; uz = 4 1 1 -2x. , U2 = 8 %3D 4 U1 8 O u1 = In sin x (e); u2 = sec x (e) = -e"; u2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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34c
Applying variation of parameters to the DE: y" - y = e" +e", we
get the following system of equations:
u e + u,e- = 0
%3D
uj e" – uze- = *
et +e
%3D
What are u1 and u2? (u1 and u2 are functions of x.)
O u1 = - e-2; uz = -÷e% - a
%3D
4
1
e-2a; u2
8.
%D
O ui
4
8.
4
In sin x (e); u2 = sec x (e-)
O u1
%3D
O u1 = -e"; u2 = -÷e
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Transcribed Image Text:Applying variation of parameters to the DE: y" - y = e" +e", we get the following system of equations: u e + u,e- = 0 %3D uj e" – uze- = * et +e %3D What are u1 and u2? (u1 and u2 are functions of x.) O u1 = - e-2; uz = -÷e% - a %3D 4 1 e-2a; u2 8. %D O ui 4 8. 4 In sin x (e); u2 = sec x (e-) O u1 %3D O u1 = -e"; u2 = -÷e Next >
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