Consider the ODE y" - k²y = f(x) 0≤x≤1 k > 0 with boundary conditions (a) y(0) = 0 y(1) = 0 Compute the Green's function G(x, x') for this ODE. That is, solve the boundary value problem d²G - k²G(x, x') = d(x − x') dx2 with boundary conditions G(x=0,x)=0 G(x = 1, x) = 0 and where 6(x) is the delta function.

Consider the ODE y" - k²y = f(x) 0≤x≤1 k > 0 with boundary conditions (a) y(0) = 0 y(1) = 0 Compute the Green's function G(x, x') for this ODE. That is, solve the boundary value problem d²G - k²G(x, x') = d(x − x') dx2 with boundary conditions G(x=0,x)=0 G(x = 1, x) = 0 and where 6(x) is the delta function.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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