In[]:=
DSolve[{M'[t]1/4500(660-M[t])M[t]-10,M[0]100},M[t],t]
Out[]=
M[t]
3004+
71
-4
71
t
75

+
71
71
t
75

23+3
71
-23
71
t
75

+3
71
71
t
75


In[]:=
SolveAlways
3004+
71
-4
71
t
75

+
71
71
t
75

23+3
71
-23
71
t
75

+3
71
71
t
75

==
150a
71
75
t
E
+b
55
71
75
t
E
+c
,t
Solve
:Exponent is out of bounds for function Solve.