e the method of Laplace transforms to solve the given system of initial value problem. y' +z=t y(0)=1 z(0) = -1 z' +4y=0 Click the icon to view information on Laplace transforms.

Find the Laplace transform of the solution of initial value problem Select one: O A. None O B. O C. O D. O E. 6s +3 (8² - 9) (s - 1) 3 8² - 9 1 4s +3 3 (s - 1)(s + 3) g2 y" + 2y' - 3y = 6e³t, y(0) = 0, y'(0) = 1

Solve the initial value problem below using the method of Laplace transforms. 6ty"-4ty' + 4y = 12, y(0) = 3, y'(0) = -5 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms.

y"-6y +15y = 2 sin(3t), y (0) = –1, y (0) = - The Laplace Transform of the given IVP is As+Bs²+Cs+D Y (s) = (Es²+F)(Gs²+Hs+I) Determine the following: For negative answer use answer [ex. -3 for negative 3] A = B = D = F =