Use the elimination method to find a general solution for the given inear system where diferentiation is with respect tot Y= 5x-2y sint y- 16x-3y- cost 57 131 130 cost+ 130 int 57 131 cost+ sint 130 S7 OC Y0=C,e cos t+Ce sin 4 131 130 cost- sint 130 Yo y-C,'eos 41+ C e'sin dt 57 cost 130 131 sint 130 OE The system is degenerate. Now find xt so that xt) and the solution for y) found in the previous step are a general solution to the system of diferertal equations. Select the comect choice below and, fnecessary, fill in the answer box to complete your choice.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the elimination method to find a general solution for the given inear system where diferentiation is wih respect to t
*= Ex-2y sint
y- 16x-3y- cost
OA M-C,et+ Cte 1+
130
57
cost+
131
sint
130
OB yt) =C, el+c,te
130
57
131
sint
130
Oc y)= C,e cos 4t + Cze
57
131
sin 41+
cost
130
130
sint
D y(t-C,cos 41+ C, e'sin 4t
131
COst
130
57
sint
130
OE The system is degenerate.
Now find x(1) so that x(t) and the solution for ytt) found in Phe previous step are a ganeral solution to the system of differertal equations. Select the correct choice below and, if necessary, fill in the anawer box to
complete your choice.
Transcribed Image Text:Use the elimination method to find a general solution for the given inear system where diferentiation is wih respect to t *= Ex-2y sint y- 16x-3y- cost OA M-C,et+ Cte 1+ 130 57 cost+ 131 sint 130 OB yt) =C, el+c,te 130 57 131 sint 130 Oc y)= C,e cos 4t + Cze 57 131 sin 41+ cost 130 130 sint D y(t-C,cos 41+ C, e'sin 4t 131 COst 130 57 sint 130 OE The system is degenerate. Now find x(1) so that x(t) and the solution for ytt) found in Phe previous step are a ganeral solution to the system of differertal equations. Select the correct choice below and, if necessary, fill in the anawer box to complete your choice.
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