O yG (2) = Cev2= + Cze v Find the general solution of the following equation: y" – 6y + 7y = 0. O yG (2) = Ciev2 + cze V %3D YG (2) = cev + czze-v %3D O yG (x) = Ce(3+v2)= + cze(3-v2) = O yG (z) = Ciez +ge 3 %3D D Question 9 Find the general solution of the following equation: y"- 2y + 4y = 0. O vG ()= ce cos(v3z)+ ce" sin(v3z) O yG (2) = ce cos(z) + cze" sin(z) O vG (z) = c cos (V3x) +cz sin(v3z) O vG (2) = ce" + c ze O va (x) - Geva cos(z) +ceve sin(r)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Find the general solution of the following equation: y"-6y +7y = 0.
YG (x) = Cev2 + cze V2a
%3D
O yG (x) = cev2e
|3D
O ya (2) = Cev
YG
+ czze-V
O yG (x) = Ce(3+v)= +cze(3-v2)=
O vG (x) = ce= + cze 3
%3D
D
Question 9
Find the general solution of the following equation: y"- 2y+4y = 0.
O vG (#) = ce cos (V32) + cze" sin (3a)
O vG (a) = ce" cos(a) + Cze" sin(r)
O vG () = cj cos (V3x) +cz sin(v/3r)
O vG (a) - ce"+ c ce"
O va () - Ceve cos(a) + czev sin(a)
Transcribed Image Text:Find the general solution of the following equation: y"-6y +7y = 0. YG (x) = Cev2 + cze V2a %3D O yG (x) = cev2e |3D O ya (2) = Cev YG + czze-V O yG (x) = Ce(3+v)= +cze(3-v2)= O vG (x) = ce= + cze 3 %3D D Question 9 Find the general solution of the following equation: y"- 2y+4y = 0. O vG (#) = ce cos (V32) + cze" sin (3a) O vG (a) = ce" cos(a) + Cze" sin(r) O vG () = cj cos (V3x) +cz sin(v/3r) O vG (a) - ce"+ c ce" O va () - Ceve cos(a) + czev sin(a)
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