The Michaelis-Menten equation is                 where m and M are positive constants. (a) If the Euler method is used to solve this equation, what is the resulting finite difference equation? (b) If...

The Michaelis-Menten equation is

where


_m

and


_M

are positive constants.

(a) If the Euler method is used to solve this equation, what is the resulting finite difference equation?

(b) If the trapezoidal method is used to solve this equation, what is the resulting finite difference equation?

(c) If Heun’s method is used to solve this equation, what is the resulting finite difference equation?

(d) If the RK4 method is used to solve this equation, what is the resulting finite difference equation?