Solving this equation with Laplace transform?
Clash Royale CLAN TAG#URR8PPP
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Can this equation be solved or at least put into a form of
$$F( L(u,t,s), L(u,x,s), L(u,y,s))=0$$
Using Laplace Transforms?
The equation: $u_t=u_x + u_y~cos(y)$
B.Cs:
$u(x,y,0)=0$
$u(x,0,t)=f(x,t)$
$u(0,y,t)=g(y,t)$
linear-pde
add a comment |Â
up vote
1
down vote
favorite
Can this equation be solved or at least put into a form of
$$F( L(u,t,s), L(u,x,s), L(u,y,s))=0$$
Using Laplace Transforms?
The equation: $u_t=u_x + u_y~cos(y)$
B.Cs:
$u(x,y,0)=0$
$u(x,0,t)=f(x,t)$
$u(0,y,t)=g(y,t)$
linear-pde
1
Is that equation supposed to be $partial u/partial t = partial u/partial x + cos(y)partial u/partial y$?
â eyeballfrog
Aug 10 at 22:33
1
Please, use MathJax (i.e. LaTeX commands) for mathematical notations.
â Taroccoesbrocco
Aug 10 at 22:34
1
Yes it is supposed to be that.
â Malachi Wadas
Aug 10 at 22:50
add a comment |Â
up vote
1
down vote
favorite
up vote
1
down vote
favorite
Can this equation be solved or at least put into a form of
$$F( L(u,t,s), L(u,x,s), L(u,y,s))=0$$
Using Laplace Transforms?
The equation: $u_t=u_x + u_y~cos(y)$
B.Cs:
$u(x,y,0)=0$
$u(x,0,t)=f(x,t)$
$u(0,y,t)=g(y,t)$
linear-pde
Can this equation be solved or at least put into a form of
$$F( L(u,t,s), L(u,x,s), L(u,y,s))=0$$
Using Laplace Transforms?
The equation: $u_t=u_x + u_y~cos(y)$
B.Cs:
$u(x,y,0)=0$
$u(x,0,t)=f(x,t)$
$u(0,y,t)=g(y,t)$
linear-pde
edited Aug 10 at 22:42
mrtaurho
696219
696219
asked Aug 10 at 22:25
Malachi Wadas
61
61
1
Is that equation supposed to be $partial u/partial t = partial u/partial x + cos(y)partial u/partial y$?
â eyeballfrog
Aug 10 at 22:33
1
Please, use MathJax (i.e. LaTeX commands) for mathematical notations.
â Taroccoesbrocco
Aug 10 at 22:34
1
Yes it is supposed to be that.
â Malachi Wadas
Aug 10 at 22:50
add a comment |Â
1
Is that equation supposed to be $partial u/partial t = partial u/partial x + cos(y)partial u/partial y$?
â eyeballfrog
Aug 10 at 22:33
1
Please, use MathJax (i.e. LaTeX commands) for mathematical notations.
â Taroccoesbrocco
Aug 10 at 22:34
1
Yes it is supposed to be that.
â Malachi Wadas
Aug 10 at 22:50
1
1
Is that equation supposed to be $partial u/partial t = partial u/partial x + cos(y)partial u/partial y$?
â eyeballfrog
Aug 10 at 22:33
Is that equation supposed to be $partial u/partial t = partial u/partial x + cos(y)partial u/partial y$?
â eyeballfrog
Aug 10 at 22:33
1
1
Please, use MathJax (i.e. LaTeX commands) for mathematical notations.
â Taroccoesbrocco
Aug 10 at 22:34
Please, use MathJax (i.e. LaTeX commands) for mathematical notations.
â Taroccoesbrocco
Aug 10 at 22:34
1
1
Yes it is supposed to be that.
â Malachi Wadas
Aug 10 at 22:50
Yes it is supposed to be that.
â Malachi Wadas
Aug 10 at 22:50
add a comment |Â
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1
Is that equation supposed to be $partial u/partial t = partial u/partial x + cos(y)partial u/partial y$?
â eyeballfrog
Aug 10 at 22:33
1
Please, use MathJax (i.e. LaTeX commands) for mathematical notations.
â Taroccoesbrocco
Aug 10 at 22:34
1
Yes it is supposed to be that.
â Malachi Wadas
Aug 10 at 22:50