I'm deriving the heat equation using Laplace transforms.(adsbygoogle = window.adsbygoogle || []).push({});

I'm up to u(bar) = Ae^{sqrt(s)x}+ Be^{-sqrt(s)x}.

My boundary conditions are lim(x tends to 0) = 0 & this makes A = 0, so u(bar) = Be^{-sqrt(s)x}

My other BC is u_{x}(0,t) = -Q

My question is how do I get B using this BC?

I tried using the def of Laplace transforms and get -dQ(bar)/dx

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# Laplace transforms

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