Problem:IF there is heat radiation within the rod of lenght L , then the 1 dimensional heat equation might take the form(adsbygoogle = window.adsbygoogle || []).push({});

u_t = ku_xx + F(x,t)

Find u(x) if F = x , k = 1 , , u(0)=0 , u(L) = 0

the problem is that i am not sure what this is asking me , how can i find u(x) if i have only u(0)= 0 , k =1 , u(L) = 0 ,and F = x

this problem becomes just an ordinary differential equation but still i dont fully understand or how to proceed from there

any hints would be appreciated

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# Heat Equation

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