Using the cosine transform solve

PDE:\quad u_{t} = 9 u_{xx}, \quad 0 < x < 1 and t > 0 .

BC:\quad u_x(0,t) = u_x(1,t) = 0

IC:\quad u(x,0) = 6 + 8 \cos(\pi x) + 9 \cos(2\pi x)

Solve:u(x,t) = {}

Based on this solution what is the steady state, that is what is\lim_{t\to \infty} u(x,t) = {}

help (formulas)

PDE:

BC:

IC:

Solve:

Based on this solution what is the steady state, that is what is

help (formulas)

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