CH E374 Lecture Notes - Euler Method, Partial Differential Equation, Midpoint Method

• School: University of Alberta
• Department: Chemical Engineering
• Course: CH E374
• Professor: Joe Mmbaga

Document Summary

Module 6: ordinary differential equations (ode"s): initial value problems (ivp) If there is one independent variable the equations are known ordinary differential equations (ode"s), if there is more than one independent variable and the equation(s) involve partial derivatives we speak of partial differential equations (to be discussed in. Order of an ode: order of the highest derivative. General form of an nth order ode with (6. 1) General form of a linear nth order ode: (6. 2) Suppose and are solutions to a linear ode, then also (6. 3) is a solution of the same ode with and constants. Non-linear ode"s e. g. contain products of y and its derivatives, e. g. Non-linear ode"s e. g. contain products of y and its derivatives, e. g. (6. 4) An nth order ode needs n boundary conditions. If these are known at one point (e. g. x=0) we call the problem an initial value problem.