Find the general solution to the system x' = Ax where A is the given matrix. -1 4 A= -1 3 2 - 1 a) x(t)= C, e +C.e 2 +te 1 -1 b) O x(1)= C, e* + C,te -2 2 - 1 c) O x(t)= C, e + C.e 2 2 +te - 1 + 2 -t...


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Find the general solution to the system x' = Ax where A is the given matrix.<br>-1 4<br>A=<br>-1 3<br>2<br>- 1<br>a)<br>x(t)= C, e<br>+C.e<br>2<br>+te<br>1<br>-1<br>b) O x(1)= C, e*<br>+ C,te<br>-2<br>2<br>- 1<br>c) O x(t)= C, e<br>+ C.e<br>2<br>2<br>+te<br>- 1<br>+<br>2<br>-t<br>-1<br>d) O x(t)= C, e<br>-t<br>e<br>+te<br>1<br>+ C, te<br>-2<br>- 1<br>O (t)= C, e<br>f)<br>None of the above.<br>

Extracted text: Find the general solution to the system x' = Ax where A is the given matrix. -1 4 A= -1 3 2 - 1 a) x(t)= C, e +C.e 2 +te 1 -1 b) O x(1)= C, e* + C,te -2 2 - 1 c) O x(t)= C, e + C.e 2 2 +te - 1 + 2 -t -1 d) O x(t)= C, e -t e +te 1 + C, te -2 - 1 O (t)= C, e f) None of the above.

Jun 05, 2022
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