1. ## greens fnc problem

solve the given boundary value problem by determining the appropriate greens function i) as eigenfunction expansion ii)in closed form and express the solution as a definite integral

y'' + y = - f(x) y'(0) = 0, y(1)= 0

i want to learn how to solve this question to progress in this field.

2. Originally Posted by bogazichili
solve the given boundary value problem by determining the appropriate greens function i) as eigenfunction expansion ii)in closed form and express the solution as a definite integral

y'' + y = - f(x) y'(0) = 0, y(1)= 0

i want to learn how to solve this question to progress in this field.
Then take a course and/or get a good text! You certainly aren't going to learn by asking others to solve the problem for you.

And we can't reasonably assist you if we don't know what you already know about these. Do you know what a "Green's function" is or what an "eigenfunction expansion" is? Do you know the method of "variation of parameters"? Show what you have tried.