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(Solved): Solve (del^(2)u)/(delx^(2)) (del^(2)u)/(dely^(2))=0,0 Solve {:[u(0,y)=1,,u(\pi ,y)=1,],[u(x,0)=0,, ...



Solve (del^(2)u)/(delx^(2)) (del^(2)u)/(dely^(2))=0,0

Solve

{:[u(0,y)=1,,u(\pi ,y)=1,],[u(x,0)=0,,u(x,\pi )=1,]}0(del^(2)u)/(delx^(2)) (del^(2)u)/(dely^(2))=0,0, {:[u(0,y)=1,,u(\pi ,y)=1,],[u(x,0)=0,,u(x,\pi )=1,]}0

Solve

u(0,y)=u_(0),\lim_(x->\infty )u(x,y)=0,00,x>0(del^(2)u)/(delx^(2)) (del^(2)u)/(dely^(2))=0,x>0,0, u(0,y)=u_(0),\lim_(x->\infty )u(x,y)=0,00,x>0

k(del^(2)u)/(delx^(2)) r=(delu)/(delt^(')),(00),r

is constant

u(0,t)=u_(0),u(1,t)=u_(0), u(x,0)=0,0

Solve PDE using Laplace Transform

Solve (del^(2)u)/(delx^(2)) (del^(2)u)/(dely^(2))=0,0

u(x,t)

Solve for

u(x,t)

using Laplace Transform.

(del^(2)u)/(delx^(2)) cos\pi xsinwt=(del^(2)u)/(delt^(2)),(00), u(0,t)=0,u(1,t)=0, u(x,0)=0,u_(t)(x,0)=0,t>0 u


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