Thank you very much. I followed your suggestions, this is what my answer looks like:
T=75e^(-2t) +65-8cost-4sint
I understand that the term 75e^(-2t) is a decaying term because it goes to 0 as t goes to infinity. However, how do you think I must describe the behavior of the function with an...
Ok, i have attempted to solve it using an integration factor, right?
So
T'=-k[T-65+10cos(t)]
Im asked to assume that k=2 so i got
T'=-2T+130-20cos(t)
T'+2T=-20cos(t)+130
U(t)=e^(2t)
..
T=-4(sin(t)+2cos(t))+65+C
Initial condition T(0)=75 so when i plug it in i get
T=-4sin(t)-8cos(t)+18
Can you...
Hi,
I just need help getting started with this problem. I am given the Newton's cooling law which is
T'= -k[T-Ta]
and I'm also given that Ta is a function also and it is Ta(t)=65-10cos(t)
I'm asking to solve for T when k=2 and T(0) = 75.
Do I just plug in 2 for...