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OpenStudy (anonymous):
y''''-y=0 DE solve
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OpenStudy (lalaly):
\[r^4-1=0\]
OpenStudy (lalaly):
(r-1)(r+1)(r^2+1)=0
OpenStudy (lalaly):
\[r=1,-1, \pm i\]
OpenStudy (lalaly):
so \[y=c_1e^x + c_2e^{-x} + c_3 cosx + c_4sinx\]
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