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ubhik · #6 April 30th, 2008, 03:14 PM

Here is the question that I need to answer:

The function $x = h(x)$ is defined piecewise by

$h(x): = 0,$
$0<= x < 1$

$h(x): = x-1,$
$x >=1$

with $h$ defined above, solve the initial value problem:

$(Ay)(x)= h(x),$

$Ay:=\frac{d^2y}{dx^2} - y$

$y(0)=y'(0)=0$

by finding the Green's function of $A$ , using the variation of parameters method.

This isthe question, and in my notes the first that has been done is that the kernel has been found, but I don't know how to do this for this question, like it was with my other question that has been explained earlier by people on the MHF