Math 2243 â Spring 2006 Final Exam Answer Key
Math 2243 â Spring 2006 Final Exam Answer Key
Math 2243 â Spring 2006 Final Exam Answer Key
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9. a)<br />
P =<br />
⎡⎡ 1 5 ⎤⎤<br />
⎢⎢ ⎥⎥ b)<br />
⎣⎣ −1 −1 ⎦⎦<br />
⎡⎡ 1 ⎤⎤<br />
x(t) = c 1 ⎢⎢ ⎥⎥ e −t ⎡⎡ 5 ⎤⎤<br />
+ c<br />
⎣⎣ − 1<br />
2 ⎢⎢ ⎥⎥ e 3t<br />
⎦⎦ ⎣⎣ − 1⎦⎦<br />
10. X ( t ) = − ½ sin 2t + 2 sin t<br />
€<br />
€<br />
11.<br />
y = c 1 e t + c 2 e 4t − 2 3 t e t + 3 2<br />
€<br />
12. the determinant is zero
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