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## problem solving

Hello! I upload my file which has a problem. I am not an expert on MAPLE v10.05. The file name is "mapleprime-2". I try to get a solution of four equations with the symmetric assumption for time variables. Anyone could change the assumption to get a result. Or, anyone could add just two more time variables: t[6] with minus sign amplitude and t[7] with plus sign amplitude. So, the entire number of time variables are still odd number which can not be changed. The current code is following as: restart: eq1:=expand(sum((-1)^(i+1)*cos(w*t[i]),i=1..5)=0): eq2:=expand(sum((-1)^(i+1)*sin(w*t[i]),i=1..5)=0): eq3:=expand(sum((-1)^(i+1)*cos(r*w*t[i]),i=1..5)=0): eq4:=expand(sum((-1)^(i+1)*sin(r*w*t[i]),i=1..5)=0): t[1],t[4],t[5]:=0,2*t[3]-t[2],2*t[3]: _EnvAllSolutions:=true: _EnvExplicit:=true: s1:=solve({eq1,eq2,eq3,eq4},{t[2],t[3],r}); s2:=eval(s1,[_Z93=1,_Z47=1,_Z13=1,_Z51=1,_Z107=1,_Z17=1]); Solution_Check:=eval([eq1,eq2,eq3,eq4],s2[2]); At the end of my maple worksheet, the solutions do not meet the given equations: eq1, eq2, eq3 and eq4. Could anyone explain it to me? So, Could anyone help me to get a solution? Thanks The file can be found in the File Manager

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