Answer either True or False in the boxes provided. Make sure your spelling of True and False is exactly as stipulated in this instruction. Note: C1 ad C2 are arbitrary constants. y1(t) = et and y2(t) = e are independent solutions of y"-y = 0. The complementary function of y"-y = 2et is y3(t) = Cie-t+ C2e'. Y4(t) = }e3t is a particular solution of y"- y = 2e3t. 4 The general solution of y" – y = 2et is y5(t) = C1e-t + C2e +e.

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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Answer either True or False in the boxes provided. Make sure your spelling of True and False
is exactly as stipulated in this instruction.
Note: C1 ad C2
are arbitrary constants.
y1(t) = et and y2(t) = e'
are independent solutions of y"-y = 0.
The complementary function of y" – y = 2et is y3(t) = Cie-t+ C2e.
Y4(t) = Fet
1.3t
is a particular solution of y"- y = 2e3t.
The general solution of y" – y = 2et is y5(t) = Cje=t + C2et +e.
Transcribed Image Text:Answer either True or False in the boxes provided. Make sure your spelling of True and False is exactly as stipulated in this instruction. Note: C1 ad C2 are arbitrary constants. y1(t) = et and y2(t) = e' are independent solutions of y"-y = 0. The complementary function of y" – y = 2et is y3(t) = Cie-t+ C2e. Y4(t) = Fet 1.3t is a particular solution of y"- y = 2e3t. The general solution of y" – y = 2et is y5(t) = Cje=t + C2et +e.
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