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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.

Advanced Engineering Mathematics
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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Hh.101.

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
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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