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Select all true statements about the DE y" + 3y' + 2y = sin t. A. It has complementary function y(t) = C1e2t + C2e“. В. y(t) = 3 cos t sin t 10 10 is a particular solution for the DE.

Select all true statements about the DE y" + 3y' + 2y = sin t. A. It has complementary function y(t) = C1e2t + C2e“. В. y(t) = 3 cos t sin t 10 10 is a particular solution for the DE.

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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Select all true statements about the DE y" + 3y' + 2y = sint. A. It has complementary function y(t) = C1e2t + C2e. В. y(t) = 3 cos t 10 sin t 10 is a particular solution for the DE. O C. It has complementary function y(t) = C1e-2t + C2e¬t. D. Its general solution is y(t) = 3 cos t 10 + sint + C1e2t + C2e'.
Transcribed Image Text:Select all true statements about the DE y" + 3y' + 2y = sint. A. It has complementary function y(t) = C1e2t + C2e. В. y(t) = 3 cos t 10 sin t 10 is a particular solution for the DE. O C. It has complementary function y(t) = C1e-2t + C2e¬t. D. Its general solution is y(t) = 3 cos t 10 + sint + C1e2t + C2e'.
C. It has complementary function y(t) = C1e-2t + C2e¬t. D. Its general solution is y(t) = 3 cos t 10 sin t 10 + C1e²t + C2e'. Е. Its general solution is y(t) = =3 cost 10 sint + + Cie-2t + C2et. %3D 10 O F. y(t) = -3 cos t 10 sin t 10 is a particular solution for the DE.
Transcribed Image Text:C. It has complementary function y(t) = C1e-2t + C2e¬t. D. Its general solution is y(t) = 3 cos t 10 sin t 10 + C1e²t + C2e'. Е. Its general solution is y(t) = =3 cost 10 sint + + Cie-2t + C2et. %3D 10 O F. y(t) = -3 cos t 10 sin t 10 is a particular solution for the DE.
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