a) Let > 0, and consider the initial-value problem d2y dx2 = 2y, y(0) = 1 y(0) = 0. Again, assume that the solution y(x) can be written as a Taylor series expanded about zero. he initial conditions will allow you to solve for c0 and c1. Use the method of equating coefficients, as we did in Part I and Part II to find the rest of the coefficients in the series that represents the solution. Show all of your work. (b) Use Maclaurin series to find the general solution to the differential equation y 2y y = 0. Then, write your general solution in a closed form (i.e., not using series). 3