Let e1 D 1 0 , e2 D 0 1 , y1 D 2 5 , and y2 D 1 6 , and let T W R2 ! R2 be a linear transformation that maps e1 into y1 and maps e2 into y2 . Find the images of 5 3 and x1 x2

Amass weighing 16 pounds stretches a spring 8/3 feet. the mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. find the equation of motion if the mass is driven by an external force equal to f(t)=cos(2t).