Differential Equations Question

[4231]

dT/dt = -.3662(T-5) + H, and T=20 when t =0. Find the value of H so that the temp remains constant. I think the answer may be 5.493, but i am not sure. could someone either confirm the answer or show me how to get the right answer? thanks

[thushan]

Sub in T = 20 and dT/dt = 0. Solve for H.

Coz if dT/dt = 0 at t = 0, and given that dT/dt is entirely dependent on T, that means that dT/dt = 0 for all t>0.

[4231]

When you solve for H it gives you 5.493, which is what i got so hopefully it is right