Second order Non-homogeneous differential equations   03/15/16

 

Let me tell you something, non-homogeneous differential equations are just as painful as they sound. Let’s say that you are given a 2nd order differential equation in the form y”+by’+ay=g(x). What you do to solve this equation is to divide it into a Particular solution and a general solution, which can be represented symbolically as y(x0=yp+yc). To solve for the general solution we set the entire equation equal to zero and solve from there, and to solve for the particular solution we just solve for the solution in the current form.