10. What is the general solution of the nonhomogeneous differential equation (D² – D– 2)y = 6x + 6e*?A) y=c,e*+c,e²* – 3x + 3x + 6xe*B) y= c,e* +c,e²* – 3x +3- 2xe*3C) y=c,e*+c,e* – 3x +x+ 2xe*D) y=c,e"+c,e* – 3x +5- 4xe*

Given differential equation is D2 -D-2 y = 6x +6e-x This is non homogeneous differential equation.…

Answered: 10. What is the general solution of the…

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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6. Find the integrating factor for the first order linear differential equation =D5 cos T - r A) sec r B) (4 – 2)2 C) 1/(4 - r)2 D) e2/(4-z) E) None of the above answers is correct
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10. What is the general solution of the nonhomogeneous differential equation (D² – D– 2)y = 6x + 6e*? A) y=c,e*+c,e* – 3x + 3x + 6xe* 3 B) y=c,e*+c,e²* – 3x +- 2xe* 3 C) y=c,e*+c,e²* – 3x +x+ 2xe* 5 D) v= c,e*+c,e* – 3x +2- 4xe*

10. What is the general solution of the nonhomogeneous differential equation (D² – D– 2)y = 6x + 6e? A) y=c,e+c,e* – 3x + 3x + 6xe* 3 B) y=c,e+c,e² – 3x +- 2xe* 3 C) y=c,e+c,e² – 3x +x+ 2xe* 5 D) v= c,e+c,e – 3x +2- 4xe*