Consider the boundary value problem
- = f(x), 0

Question

Consider the boundary value problem
-  = f(x), 0 < x < 1, y(0) = 0,  (1) = 0
Which of these is the Green's function representation of the solution of the given boundary value problem?
A) $ y(x)=\int_{0}^{1}-G(-x, s) f(s) d s $ 
B) $ y(x)=\int_{0}^{1}-G(x, s) f(s) d s $ 
C) $ y(x)=\int_{0}^{1} G(-x, s) f(s) d s $ 
D) $ y(x)=\int_{0}^{1} G(x, s) f(s) d s $

Quizplus · Accepted Answer

The Answer of Consider the boundary value problem
-  = f(x), 0 < x < 1, y(0) = 0,  (1) = 0
Which of these is the Green's function representation of the solution of the given boundary value problem?
A) $ y(x)=\int_{0}^{1}-G(-x, s) f(s) d s $ 
B) $ y(x)=\int_{0}^{1}-G(x, s) f(s) d s $ 
C) $ y(x)=\int_{0}^{1} G(-x, s) f(s) d s $ 
D) $ y(x)=\int_{0}^{1} G(x, s) f(s) d s $

Consider the Boundary Value Problem - = F(x), 0 y(x)=∫01−G(−x,s)f(s)ds y(x)=\int_{0}^{1}-G(-x, s) f(s) d s y(x)=∫01​−G(−x,s)f(s)ds

Consider the Boundary Value Problem
- = F(x), 0 $y(x)=\int_{0}^{1}-G(-x, s) f(s) d s$