How do I solve the following IVP problem in Mathematica so that I get real solutions?
Q?(t)=b?Q(t)(100?t);Q(0)=250
I tried the following:
$Assumptions=b>0;$Assumptions=t>0;
f=DSolve[{Q?[t]=b?Q[t](100?t),Q[0]=250},Q,t][[1,1,2]]
f(t)
which results in the following:
12(?2i?bt?2btlog(100)?200blog(t?100)+2btlog(t?100)+200i?b+200blog(100)?5t+500)
Any help would be much appreciated. Thanks!!!