Using the Laplace transform and showing the details of your work, solve the IVP: 2. yi...

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Using the Laplace transform and showing the details of your work, solve the IVP: 2. yi y20, y1 + y2 = 2 cos 1, yi(0) = 1, yz(0) = 0 3. yi-2y1+3y2 = 0, y2 y1+2y2 = 0, yi(0) = 1, yz(0) = 0 4. y=4y2-8 cos 41, y2=-3y1 - 9 sin 41, yi(0) = 0, yz(0) = 3 Using the Laplace transform and showing the details of your work, solve the IVP: 2. yi y20, y1 + y2 = 2 cos 1, yi(0) = 1, yz(0) = 0 3. yi-2y1+3y2 = 0, y2 y1+2y2 = 0, yi(0) = 1, yz(0) = 0 4. y=4y2-8 cos 41, y2=-3y1 - 9 sin 41, yi(0) = 0, yz(0) = 3