Solve for the general solution and type of auxiliary equation of (D5 + Dª – 7 D³ –11D² – 8D – 12) y= 0 cje-2* + €2xe¬2# + Cze³* + C4cosx+ Cscosx; cje* + €2xe* + cze* + C4cosx + Cscosx; distinct imaginary roots distinct imaginary roots A. 4c,e-3+ + 3¢2xe¬2x + €ze³r + C4cosx + Cscosx; repeated imaginary roots 2c,e-3x + 3c2xe-2x + 4€ze³x + 5C4cosx + C5cosx; repeated imaginary roots C. D. B.
Solve for the general solution and type of auxiliary equation of (D5 + Dª – 7 D³ –11D² – 8D – 12) y= 0 cje-2* + €2xe¬2# + Cze³* + C4cosx+ Cscosx; cje* + €2xe* + cze* + C4cosx + Cscosx; distinct imaginary roots distinct imaginary roots A. 4c,e-3+ + 3¢2xe¬2x + €ze³r + C4cosx + Cscosx; repeated imaginary roots 2c,e-3x + 3c2xe-2x + 4€ze³x + 5C4cosx + C5cosx; repeated imaginary roots C. D. B.
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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Transcribed Image Text:Solve for the general solution and type of auxiliary equation of
(D5 + Dª – 7 D³ –11D² – 8D – 12) y= 0
cje-2* + €2xe¬2# + Cze³* + C4cosx+
Cscosx;
cje* + €2xe* + cze* + C4cosx +
Cscosx;
distinct imaginary roots
distinct imaginary roots
A.
4c,e-3+ + 3¢2xe¬2x + €ze³r + C4cosx +
Cscosx;
repeated imaginary roots
2c,e-3x + 3c2xe-2x + 4€ze³x +
5C4cosx + C5cosx;
repeated imaginary roots
C.
D.
B.
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