# Solution to a Partial Differential Equation BVP

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For n>0, find the solution to the boundary value problem -Ãƒ?"u=(n/Ãƒ?Ã¢?Â¬)e^{-n(xÃƒ?Â²+yÃƒ?Â²)}, xÃƒ?Â²+yÃƒ?Â²<1, u(x,y)=0, xÃƒ?Â²+yÃƒ?Â²=1. What happens in the limit as nÃ¢Ã¢?Â 'Ã¢Ã‹??? (Ãƒ?"u=((Ã¢Ã‹?Ã¢??Ãƒ?Â²u)/(Ã¢Ã‹?Ã¢??xÃƒ?Â²))+((Ã¢Ã‹?Ã¢??Ãƒ?Â²u)/(Ã¢Ã‹?Ã¢??yÃƒ?Â²))).

Â© BrainMass Inc. brainmass.com December 24, 2021, 10:08 pm ad1c9bdddfhttps://brainmass.com/math/partial-differential-equations/solution-partial-differential-equation-bvp-446913

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Â© BrainMass Inc. brainmass.com December 24, 2021, 10:08 pm ad1c9bdddf>https://brainmass.com/math/partial-differential-equations/solution-partial-differential-equation-bvp-446913