4. The DE y + 3y + 2y = has complementary solutions y, =ce +çe*. W₁ _W2₂ Using y=ue +ue, we obtain u = U₂ = where W= (a) Find W₁ and W₂. (b) Find the parameter functions up and u₂. One or both functions maybe non-elementary. (c) Write the general solution to the DE assuming the initial values are at x = 0.
4. The DE y + 3y + 2y = has complementary solutions y, =ce +çe*. W₁ _W2₂ Using y=ue +ue, we obtain u = U₂ = where W= (a) Find W₁ and W₂. (b) Find the parameter functions up and u₂. One or both functions maybe non-elementary. (c) Write the general solution to the DE assuming the initial values are at x = 0.
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.
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Hh.101.
Transcribed Image Text:4. The DE y* + 3y + 2y =
Using y=ue +ue, we obtain u,' =- W₁
;
W
has complementary solutions y, =ce" +Ge¹².
e-2x
W
=where W=
W
(a) Find W₁ and W₂.
(b) Find the parameter functions up and u₂. One or both functions maybe non-elementary.
(c) Write the general solution to the DE assuming the initial values are at x = 0.
FOLL
import
Servic
United States
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