The general solution of the linear system 1 -1 X'= is 2 -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The general solution of the linear system
1
X' =
-1
\X is
2
1
-
O a. X=C;
cos(2t) –
sin(2t) +C2
cos(2t)+
sin(2t)
а.
Ob. X=C1
1
sin(1t) –
sin(lt) +C2
1
cos(1t)+
1
cos(lt)
X= C1
cos(1t)-
sin(2t) +C2
cos(1t)+
sin(2t)
C.
O d. *= C1
cos(1f)-
sin(1t) +C2
cos(1t)+
sin(1t)
O e. No correct answer
Transcribed Image Text:The general solution of the linear system 1 X' = -1 \X is 2 1 - O a. X=C; cos(2t) – sin(2t) +C2 cos(2t)+ sin(2t) а. Ob. X=C1 1 sin(1t) – sin(lt) +C2 1 cos(1t)+ 1 cos(lt) X= C1 cos(1t)- sin(2t) +C2 cos(1t)+ sin(2t) C. O d. *= C1 cos(1f)- sin(1t) +C2 cos(1t)+ sin(1t) O e. No correct answer
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