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## Homework Statement

The given two-parameter family is a solution of the indicated differential equation on the interval

(−infinity, infinity).

Determine whether a member of the family can be found that satisfies the boundary conditions. (If yes, enter the solution. If an answer does not exist, enter DNE.)

y = c1e^x cos x + c2e^x sin x; y'' − 2y' + 2y = 0

I completed the 1st 3 but I dont know this one

(d) y(0) = 0, y(π) = 0

## Homework Equations

## The Attempt at a Solution

when y(0) = 0 :

0=c1 e^(0)cos(0)+c2 e^(0)sin(0)

c1=0

when y(π) = 0:

0=c1e^π cosπ+c2 e^π sinπ

0=c1e^π+0

c1=0