Solving this equation with Laplace transform?

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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:



$u(x,y,0)=0$



$u(x,0,t)=f(x,t)$



$u(0,y,t)=g(y,t)$







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  • 1




    Is that equation supposed to be $partial u/partial t = partial u/partial x + cos(y)partial u/partial y$?
    – eyeballfrog
    Aug 10 at 22:33







  • 1




    Please, use MathJax (i.e. LaTeX commands) for mathematical notations.
    – Taroccoesbrocco
    Aug 10 at 22:34






  • 1




    Yes it is supposed to be that.
    – Malachi Wadas
    Aug 10 at 22:50














up vote
1
down vote

favorite
1












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:



$u(x,y,0)=0$



$u(x,0,t)=f(x,t)$



$u(0,y,t)=g(y,t)$







share|cite|improve this question


















  • 1




    Is that equation supposed to be $partial u/partial t = partial u/partial x + cos(y)partial u/partial y$?
    – eyeballfrog
    Aug 10 at 22:33







  • 1




    Please, use MathJax (i.e. LaTeX commands) for mathematical notations.
    – Taroccoesbrocco
    Aug 10 at 22:34






  • 1




    Yes it is supposed to be that.
    – Malachi Wadas
    Aug 10 at 22:50












up vote
1
down vote

favorite
1









up vote
1
down vote

favorite
1






1





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:



$u(x,y,0)=0$



$u(x,0,t)=f(x,t)$



$u(0,y,t)=g(y,t)$







share|cite|improve this question














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:



$u(x,y,0)=0$



$u(x,0,t)=f(x,t)$



$u(0,y,t)=g(y,t)$









share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








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 $partial u/partial t = partial u/partial x + cos(y)partial u/partial y$?
    – eyeballfrog
    Aug 10 at 22:33







  • 1




    Please, use MathJax (i.e. LaTeX commands) for mathematical notations.
    – Taroccoesbrocco
    Aug 10 at 22:34






  • 1




    Yes it is supposed to be that.
    – Malachi Wadas
    Aug 10 at 22:50












  • 1




    Is that equation supposed to be $partial u/partial t = partial u/partial x + cos(y)partial u/partial y$?
    – eyeballfrog
    Aug 10 at 22:33







  • 1




    Please, use MathJax (i.e. LaTeX commands) for mathematical notations.
    – Taroccoesbrocco
    Aug 10 at 22:34






  • 1




    Yes it is supposed to be that.
    – Malachi Wadas
    Aug 10 at 22:50







1




1




Is that equation supposed to be $partial u/partial t = partial u/partial x + cos(y)partial u/partial y$?
– eyeballfrog
Aug 10 at 22:33





Is that equation supposed to be $partial u/partial t = partial u/partial x + cos(y)partial u/partial y$?
– eyeballfrog
Aug 10 at 22:33





1




1




Please, use MathJax (i.e. LaTeX commands) for mathematical notations.
– Taroccoesbrocco
Aug 10 at 22:34




Please, use MathJax (i.e. LaTeX commands) for mathematical notations.
– Taroccoesbrocco
Aug 10 at 22:34




1




1




Yes it is supposed to be that.
– Malachi Wadas
Aug 10 at 22:50




Yes it is supposed to be that.
– Malachi Wadas
Aug 10 at 22:50















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