Problem #3: The function y = c1 cos 5x + c2 sin 5x is a two-parameter family of solutions of the second-order differential equation y'' + 25y = 0. Find the values of c1 and c2 so that the solution satisfies the following boundary conditions.
y(̴̵̶̷̸̡̢̧̨̛̖̗̘̙̜̝̞̟̠̣̤̥̦̩̪̫̬̭̮̯̰̱̲̳̹̺̻̼͇͈͉͍͎̀́̂̃̄̅̆̇̈̉̊̋̌̍̎̏̐̑̒̓̔̽̾̿̀́͂̓̈́͆͊͋͌̕̚ͅ͏͓͔͕͖͙͚͐͑͒͗͛ͣͤͥͦͧͨͩͪͫͬͭͮͯ͘͜͟͢͝͞͠͡ͰͱͲͳʹ͵Ͷͷͺͻͼͽ;Ϳ΄΅Ά·ΈΉΊΌΎΏΐπ) = 1, y(π/6) = 7.
-1, -3*sqrt(3)/5