Directions: Use Python to solve each problem, unless the question states otherwise. (Template link) 1. Consider the differential equation 4y" + 25y = 0. (a) For what values of k would the function y = cos(kt) be a solution to the differential equation? (b) For those values of k, verify that every member of the family of functions y = A sin(kt) + B cos(kt) is also a solution.