Question

u(0,t) = u (1,t) = 0
u(x,0) = 0,01sen3πx
du/dt (x,0) = 0
help!

Answer 1

are you trying to write $$u(0,t)=u(1,t)=0\\u(x,0)=0.01\sin(3\pi x)\\\frac{du}{dt}\Biggr|_{t=0}=0$$

Answer 2

what equation are these boundary conditions for?

Answer 3

means that g (x) = 0

Answer 4

eh... :-( I don't follow, sorry. you haven't stated anything

Answer 5

what you gave are just boundary conditions for some PDE presumably... maybe heat equation?

Answer 6

wave equation

Answer 7

\[u ( x, t ) = (sen n pix/l)\left[ an \cos (npict/l) \right]\]

Answer 8

an=2 \[\int\limits_{0}^{1}0.01sen3pix \times sen n \pi x dx \]

Answer 9

so you're saying \(u(x,t)=\sum a_n\sin(n\pi x)\cos(n\pi ct/l)\)?

Answer 10

oops \(\sin(n\pi x/l)\)

Answer 11

yes