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Identify p(t), q(t) and r(t). Solve the given initial value problem using the method of Laplace...

Solve the given initial value problem using the method of Laplace transforms. 26, Osts 7 y + 2y + 20y = g(t), y(0)= -5, y(

Identify p(t), q(t) and r(t).

Solve the given initial value problem using the method of Laplace transforms. 26, Osts 7 y' + 2y' + 20y = g(t), y(0)= -5, y'(O)= 0, where g(t) = { 52, 7<t< 14, 0, 14<t Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. The solution has the form y(t) = P(t)+q(t)u(t-a) + r(t)u(t - ), where u(t) is the unit step function. Let a<B. Identify the values of a and B E B B = (Simplify your answers.)
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