Recent content by spaceknight

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    Homogenous PDE with separation of variables

    I know lambda=0 does work, but since its a constant doesn't it just merge with the coefficient in F=Ccos(npix) if I start n=0,1,2,3...
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    Homogenous PDE with separation of variables

    Well, when I take the infinite series do I start from n=0 then because lambda=0 is included? Cause then I take the first term and I get the ao constant, which I'm assuming is suppose to happen but I just wanted to clarify. And I was kinda hoping if someone would solve it so I can compare my...
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    Homogenous PDE with separation of variables

    Yeah that's correct. As for my steps, I just followed normal procedure of separation of variables so assume solution is u(x,t)=F(x)G(t) So G'/(2G)=F''/F=λ and my 2 ODEs are: 1. G'-2Gλ=0 2. F''-Fλ=0 Then I solve for F using the three cases, λ<0, λ=0, λ>0 and the boundary values...
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    Homogenous PDE with separation of variables

    Homework Statement Sorry don't know how to use the partial symbol, bear with me partial u wrt t=2*(2nd partial u wrt x) Boundary conditions: partial u wrt x (0,t)=partial u wrt x (1,t)=0 Initial conditions u(x,0)=x(1-x) Homework Equations I get an answer that is different...
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