1)Find the functiony1oftwhich is the solution of

64y49y=0

with initial conditions

y1(0)=1, y1(0)=0.

y1=..................?......................

Find the functiony2oftwhich is the solution of

64y49y=0

with initial conditions

y2(0)=0 , y2(0)=1.

y2=.............?.....................

Find the Wronskian

W(t)=W(y1,y2).

(Hint: writey1andy2in terms of hyperbolic sine and cosine and use properties of the hyperbolic functions).

W(t)=................?......................

Remark: You should find that W is not zero and soy1 andy2form a fundamental set of solutions of

64y49y=0.