Let y be an unknown function of the independent variable x E [0, 12'] that obeys the following familiar second-order ordinary differential equation y\" + k y = 0 (1) where k E IR . Further. suppose that y obeys the following boundary conditions. y(0) = 0, WI) = 0, (2)- Solve the following problems 2.1 Show that Eq. (1) has the following solutions depending on the value of k: a k > 0, y1(x) = c1 sinh/Ex) + 2 cosh/Ex), o k