hello, i desperately need help with differential equations- newton's law of cooling
i need to solve this D.E.........
dT/dt= -k(T-8)+H where k is a positive constant and h=1........
when t=0 T=16 PLEASE HELP ME!!!!!!!!!!!!!!!!!!!
hello, i desperately need help with differential equations- newton's law of cooling
i need to solve this D.E.........
dT/dt= -k(T-8)+H where k is a positive constant and h=1........
when t=0 T=16 PLEASE HELP ME!!!!!!!!!!!!!!!!!!!
The homogeneous equation is
and has a solution
The particular solution will be of the form
since the RHS of the differential equation is simply a constant. You can plug this into the original differential equation to get a value for B in terms of k and H.
Thus the general solution of this equation will be:
where A is a constant to be fit to your initial conditions.
-Dan