Two equal masses $m = 1$ are connected in a line by three springs of stiffness $k = 2$ (wall-spring-mass-spring- mass-spring-wall). Their displacements $y_1$ and $y_2$ satisfy $m\frac{d^2y_1}{dt^2} + 2ky_1 - ky_2 = 0, \qquad m\frac{d^2y_2}{dt^2} + 2ky_2 - ky_1 = 0$ with initial conditions $y_1(0) = y_2(0) = 1$ and $y_1'(0) = -y_2'(0) = \sqrt 6$. Use Laplace transforms to find the motion of the two masses.