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Consider the IVP: 1 y"(t) + 2y'(t) + 2y(t) = 1², y(0) = y(0) = 0 (a) The complementary function yo OA. OB. C₁ + C₂ t C₁ + C₂ e OC. ye(t) = C₁ et cost + C₂ e ¹ sint O D. Yc (t) = C₁ e $²=²2+ C₂ ² OE. None of the answers is correct (b) The use of UC method to find a particular solution y(t) of the DE shows that y, has the form O A. At² + Bt² e At² + Bt²2 e COS -t 77FP OB. At et cos t+Bt² etsint -t O C. t sin OD. At² +Bt+C 2 OE. None of the given answers is correct

Consider the IVP: 1 y"(t) + 2y'(t) + 2y(t) = 1², y(0) = y(0) = 0 (a) The complementary function yo OA. OB. C₁ + C₂ t C₁ + C₂ e OC. ye(t) = C₁ et cost + C₂ e ¹ sint O D. Yc (t) = C₁ e $²=²2+ C₂ ² OE. None of the answers is correct (b) The use of UC method to find a particular solution y(t) of the DE shows that y, has the form O A. At² + Bt² e At² + Bt²2 e COS -t 77FP OB. At et cos t+Bt² etsint -t O C. t sin OD. At² +Bt+C 2 OE. None of the given answers is correct

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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A and b Part A is complementary function y_c(t)
Consider the IVP: 1 y"(t) + 2y'(t) + 2y(t) = t², y(0) = y(0) = 0 (a) The complementary function ye OA. OB. t C₁+C₂ e ² C₁ + C₂ e OC. Ye(t) = C₁ et cost + C₂ e ¹ sint O D. Yc (t) = C₁ e ==²=2+ C₂ ² OE. None of the answers is correct (b) The use of UC method to find a particular solution y(t) of the DE shows that yp has the form O A. -t 77P At² + Bt² e OB. At et cos -t O C. COS At² + Bt² e t sin t+Bt² etsint OD. At² +Bt+C 2 OE. None of the given answers is correct
Transcribed Image Text:Consider the IVP: 1 y"(t) + 2y'(t) + 2y(t) = t², y(0) = y(0) = 0 (a) The complementary function ye OA. OB. t C₁+C₂ e ² C₁ + C₂ e OC. Ye(t) = C₁ et cost + C₂ e ¹ sint O D. Yc (t) = C₁ e ==²=2+ C₂ ² OE. None of the answers is correct (b) The use of UC method to find a particular solution y(t) of the DE shows that yp has the form O A. -t 77P At² + Bt² e OB. At et cos -t O C. COS At² + Bt² e t sin t+Bt² etsint OD. At² +Bt+C 2 OE. None of the given answers is correct
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