Partial Differential Equations

[laziko1061]

Hi there
I do not even know how and where I can start.

\(\displaystyle U_{t} = -C_{1}U + U_{xx} + C_{2}e^{-kx}\)

\(\displaystyle U(x,0) = 0\)

\(\displaystyle X = 0, \;\ U_{x} = C_{3}U\)

\(\displaystyle X = 1, \;\ U=0\)


Thank you all.

 

[Deleted member 4993]

Hi there
I do not even know how and where I can start.

\(\displaystyle U_{t} = -C_{1}U + U_{xx} + C_{2}e^{-kx}\)

\(\displaystyle U(x,0) = 0\)

\(\displaystyle X = 0, \;\ U_{x} = C_{3}U\)

\(\displaystyle X = 1, \;\ U=0\)


Thank you all.

What have you been taught? ? separable variaable? summation method?

What can you assume regarding U?