The given two-parameter family is a solution of the indicated differential equation on the interval (−[infinity],[infinity])(−[infinity ],[infinity]).

y=c1.ex. cosx+c2.ex. sinx ; y′′−2y′+2y=0

Determine whether a member of the family can be found that satisfies the boundary conditions.

a. y(0)=1, y'(pi)=0
b. y(0)=1, y(pi)=-1
c. y(0)=1, y(pi/2)=1
d. y(0)=0, y(pi)=0