Solve the equation ut = uxx with the boundary conditions u(x,0) = 3 sin (nπx) and u(0,t)=0=u(1,t) where 00.

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answerhappygod
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Solve the equation ut = uxx with the boundary conditions u(x,0) = 3 sin (nπx) and u(0,t)=0=u(1,t) where 00.

Post by answerhappygod »

a) \(3∑_{n=1}^∞ \) e-n2 π2 t cos⁡(nπx)
b) \(∑_{n=1}^∞ \) e-n2 π2 t sin⁡(nπx)
c) \(3∑_{n=1}^∞ \) e-n2 π2 t sin⁡(nπx)
d) \(∑_{n=1}^∞ \) e-n2 π2 t cos(nπx)
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