Implicit (Backwards) Euler's Method

[Bcranger 0]

How would one go about solving for one variable for an implicit Euler's method such as this:

I am completely lost...all I know is the value of U and dT

U_n+1 = U_n + (dU/dT)|_n+1dT
V_n+1 = V_n + (dV/dT)|_n+1dT

 

[D H]

No matter what numerical integration technique you use, you are going to need some function f(U,t) that calculates dU/dt.

Regarding implicit Euler, do you know how explicit Euler works?