4. Find the general solution of the system of differential equations 15 8 -4 5 d. 4 11 4 x + 14 dt 4 8 7 Hint: The characteristic polynomial of the coefficient matrix is –(A – 3)(A – 11)(A – 19). Moreover 1 Xp(t) = -2 %3D

Q: How do you solve this problem?

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Q: It is linear algebra. Please see the attachment

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Q: 3. Find the general solution of the system of differential equations d X = dt 8 -5 X 10 cos(7t) – 7…

A: Given: ddt(x)=8-5106x+4t3e7tcos(7t)-7sin(7t)10cos(7t)+8t7e7t7cos(7t)-sin(7t)10sin(7t) Here A=8-5106

Q: How do you solve this problem?

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A: We have to find the solution.

Q: 4. Find the general solution of the system of differential equations 15 8 -4 d. 4 11 4 x+ 14 X%3D dt…

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Q: How do you solve this problem?

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Q: 10

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A: See the solution in fig.1 and fig.2

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Q: 2. Consider the system of differential equations 29y + 3 20x 50y 3 3 41x 3 with initial (t = 0)…

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Q: 6

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Q: d. The following system of differential equations is autonomous: x1 + x? dt da2 X2 – 4 x1 + xž t dt…

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