Question: In Problems 14, verify that the given function pair is a solution to the first-order system. Data from problem 1 Data from problem 2 Data

In Problems 1–4, verify that the given function pair is a solution to the first-order system.

X= 21 2 2 3e2 3 + 4 8 + 30-21 8

Data from problem 1

x = -e, y = et dx dt dy dt = -y, = -x

Data from problem 2

X e2t *=-=+=+=+7 3 3e21 3e dx dt 2 = 2x + 1, dy dt -21 8 3x - 2y 8

Data from problem 3

x = e, y = e dx dt dy dt = 2y, || y

Data from problem 4

x = dx dt b tanh bt, y = b sech bt, b = any real number = y, dy dt = xy

X= 21 2 2 3e2 3 + 4 8 + 30-21 8

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