Compound C can be converted by the reaction from 2 compounds A and B

dCc/dt = Co - k1CaCb

At the same time, the reduction of compounds A and B are stated as:

dCa/dt = -k1CaCb

dCb/dt = -2k1CaCb

Develop the formula to solve this ODE using the Implict Euler Method. At t = 0, there is no compound C in the reactor. The initial concentration of A and B are 1.0 and 2.0 M. The time step h=0.1. No need to solve:

Use the implicit euler method for the single ODE:

yi+1yi+hf(yi+1ti+1)