Find the general solution of (4) **" + 16y " – 8y'– 17y =0 y * + 8 y given that r1 = -4 + li is a root of the characteristic equation. a) O y=C, e'+ C, e*+C,e°cos ( -4 x) + C, e* sin ( -4x) b) O y=C, e*+C,xe*+C, e cos (-4x) + C, e' sin ( -4 x) c) y=C, e'+ C,e"+C,e cos (x) + C, e' sin ( -4x) 4 -4 x d) O y =C, e + C,xe'+ C, cos (x) + C, e -4x sin (x) 4 C, e*+C,e** cos (x) + C,e* sin (x) -4 x -4 x e) O y=C, , e' + 3 4 f) O None of the above.
Find the general solution of (4) **" + 16y " – 8y'– 17y =0 y * + 8 y given that r1 = -4 + li is a root of the characteristic equation. a) O y=C, e'+ C, e*+C,e°cos ( -4 x) + C, e* sin ( -4x) b) O y=C, e*+C,xe*+C, e cos (-4x) + C, e' sin ( -4 x) c) y=C, e'+ C,e"+C,e cos (x) + C, e' sin ( -4x) 4 -4 x d) O y =C, e + C,xe'+ C, cos (x) + C, e -4x sin (x) 4 C, e*+C,e** cos (x) + C,e* sin (x) -4 x -4 x e) O y=C, , e' + 3 4 f) O None of the above.
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:Find the general solution of
(4)
**" + 16y " – 8y'– 17y =0
+ 8y
given that r1 = -4 + li is a root of the characteristic equation.
a) O y=C, e'+ C, e*+C,e°cos ( -4 x) + C, e* sin ( -4x)
b) O y=C, e*+C,xe*+ C,e°cos (-4x) + C, e* sin ( -4 x)
c)
cos (x) + C, e' sin ( -4x)
4
-4 x
d) O y =C, e + C,xe'+ C,
cos (x) + C, e
-4x
sin (x)
4
-4 x
-4 x
e) O y=C,
, e'+ C,e
+c,e"+C,et*cos (x) + C, e**sin (x)
3
4
f) O None of the above.
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