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13 Nov 2019
(1 point) Consider the initial value problem dy dt2-4- t + 13y = 6e" cos(8t), y(0) = 3, (0) =-6 Write down the Laplace transform of the left-hand side of the equation given the initial conditions Your answer should be a function of s and Y with Y denoting the Laplace transform of the solution y. Write down the Laplace transform of the right-hand side of the equation Your answer should be a function of s only. Next equate your last two answers and solve for Y. You have Y= Your answer should be a function of s only. Finally take the inverse laplace transform of your third answer to obtain the solution of the given initial value problem. y(t) = Your answer should be a function of t.
(1 point) Consider the initial value problem dy dt2-4- t + 13y = 6e" cos(8t), y(0) = 3, (0) =-6 Write down the Laplace transform of the left-hand side of the equation given the initial conditions Your answer should be a function of s and Y with Y denoting the Laplace transform of the solution y. Write down the Laplace transform of the right-hand side of the equation Your answer should be a function of s only. Next equate your last two answers and solve for Y. You have Y= Your answer should be a function of s only. Finally take the inverse laplace transform of your third answer to obtain the solution of the given initial value problem. y(t) = Your answer should be a function of t.
Nestor RutherfordLv2
13 Nov 2019