Initial Value Problems for Linear Shooting Method

[danbone87]

Homework Statement

y''-by'=f(x)

I have to "derive and submit the appropriate initial value problems (with initial conditions) for u(x) and v(x). Show me all 4 equations and initial conditions... "

and I know you get u(x) and v(x) by solving ivp's for the original equation, one homogeneous and one not. but do i use two initial guesses for y'(0)=? and then i have 4 of those? I'm unsure of what is being asked exactly.

 

[Pere Callahan]

y''-by'=f(x)

i'm unsure of what is being asked exactly.

So am I. What is f(x), u(x) and v(x) and how are they related?

 

[danbone87]

u+av

is a linear combination of y. such that u'(0) = 0 and v'(0)=a

 

[danbone87]

whoops, v'(0)=1