Find the function y1oftwhich is the solution of

64y"-36y=0 with initial conditions y1(0)= 1, y'1(0) = 0

find the function y2 of t which is the solution of

64y"-36y=0 with initial conditions y2(0) = 0, y'2(0) = 1

find the Wronskian

note: writey1and y2in terms of hyperbolic sine and cosine and use properties of the hyperbolic functions. You should find that W is not zero and soy1 and y2form a fundamental set of solutions of 64y"-36y=0