solving 2nd order differential equations
so I have two part question.
I have a 2nd order linear homogeneous equation but the initial values aren't at y(0) and y'(0) like normal. They are @ 2 instead. So it seems there may be three ways to go about it. The first I thought of was to pretend it is at 0 and then try to shift the answer, but that is hard for complicated equations. I could also just plug everything in and solve two equations with two unknowns, but it is a lot of algebra. I think the teacher had a third way that might be the easiest similar to my 2nd way, but I couldn't understand it.
2nd question is solving inhomogeneous 2nd order linear
so our teacher has us solving these with an alpha beta method I don't really understand. But its solving to easier equations. let u=y'+ay and u' + Bu = the left hand side of the equation y'' + cy' + d. I couldn't find anyone on the net who used this method and explained. Everyone seems to use complicated stuff like Lagrange or Fourier or Wronskian
Last fiddled with by Joshua2 on 20091029 at 01:58
