Differential equations: anyone here who can solve this pde correctly and handwritten plz En(x,y) be a basic solution of the Laplace equation. and x is fixed point in R^n.Let L() be the distribution (on the Schwartz space) corresponding to the function En(x,*)།།། ། ་་Find all distributions (on the Schwartz space) Z that satisfy the equation(AL() = x():AZ(·) — 4Z(·) = ½-½³x(·) — 2L(·),where delta(x) is the Dirac delta at point x (reminder delta(x) = DELTA(L())

Step 1: given ∆z-4.z=1/2δx-2L(x)And ∆L(x)=δxL(x): green function of Laplace operation we know that…

Answered: En(x,y) be a basic solution of the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.2: Graphs Of Equations

Problem 78E

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