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