Use the Laplace transform to solve the given initial value problem. y" + 4y' + 13y = e=2# sin3t, y(0) = 3, y (0) = – 2 25 gle cos(31) -2t y = 3e-" cos3t +e-" sin3t -te 18 -2t 18 3 25 y 19 'cos(3t) + 'sin(3t) -e 18 25 1 y = 3e-"cos3t +e 18 sin3t 'cos(3t) -te 25 Py = 3e-2 cos3t + 18 1 'cos(3t) sin3t |

Q: 7/4 2 sec(6x)dx sin(r In(x)) 13x 1

A: (b)

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A:

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A:

Q: QUESTION 5 (3 points) Find dy/dt. y= cos(/10+12) 5 -sin 10+12 5 sin(10t+12) 10t+12 1 sin(10t+12)…

A: Kindly see attached photo for your guidance.

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A: Please see the explanation below

Q: (a) sec¹ (31) √tan(3t) dt

A:

Q: Find f. f"(8) = sin(0) + cos(8), F(0) = 5, f(0) = 4 F(8) -sin(0) – cos(0) + 5x + 6

A: