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Sneakatone
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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 don't 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