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Question: bug in solution of DIFFERENTIAL EQUATION with constant coefficient

Question:bug in solution of DIFFERENTIAL EQUATION with constant coefficient

behroozm37 10
January 27 2017
1

for the simple ODE:

dsolve(26*(diff(y(x), x$4))-50*(diff(y(x),x$2))-2*y(x) = 0)

dsolve produces strange solution as below:

in this solution the forth function is wrong and it would be as below:

_C4*exp((1/26*I)*sqrt(26*sqrt(677)-650)*x)

can you explain this problem???

please help me :((((
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