Find the general solution to the system x' = Ax where A is the given matrix. - 1 -8 -4 A= -4 - 1 2 O -4 -3 Hint: -7 is an eigenvalue. -3t a) x(t)= C, e -71 +C.e .4 -8 1 - 1 1 b) O x(t)= C, e 1+C2 -7t...

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Find the general solution to the system x' = Ax where A is the given matrix.<br>- 1<br>-8 -4<br>A= -4<br>- 1<br>2<br>O -4 -3<br>Hint: -7 is an eigenvalue.<br>-3t<br>a)<br>x(t)= C, e<br>-71<br>+C.e<br>.4<br>-8<br>1<br>- 1<br>1<br>b) O x(t)= C, e<br>1+C2<br>-7t<br>+ C. e<br>4<br>4<br>-2<br>-8<br>8-<br>-7:<br>c) O x(t)= C, e*<br>+ C,<br>-3 + Ce<br>2<br>1<br>-2<br>2<br>4<br>-1<br>2<br>-7t<br>d)<br>x(t)= C, e

Extracted text: Find the general solution to the system x' = Ax where A is the given matrix. - 1 -8 -4 A= -4 - 1 2 O -4 -3 Hint: -7 is an eigenvalue. -3t a) x(t)= C, e -71 +C.e .4 -8 1 - 1 1 b) O x(t)= C, e 1+C2 -7t + C. e 4 4 -2 -8 8- -7: c) O x(t)= C, e* + C, -3 + Ce 2 1 -2 2 4 -1 2 -7t d) x(t)= C, e" -3 + C, e +C,e 1 2 -2 - 1 x(t)= C, e -31 -7t e) + C, 2 -2 f) O None of the above.

Jun 05, 2022

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Find the general solution to the system x' = Ax where A is the given matrix. - 1 -8 -4 A= -4 - 1 2 O -4 -3 Hint: -7 is an eigenvalue. -3t a) x(t)= C, e -71 +C.e .4 -8 1 - 1 1 b) O x(t)= C, e 1+C2 -7t...

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