Find a formal solution to the initial-boundary value

Chapter 10, Problem 14E

(choose chapter or problem)

Find a formal solution to the initial-boundary value problem

$\frac{\partial u}{\partial t}=3 \frac{\partial^{2} u}{\partial x^{2}}+5,0<x<\pi, t>0$

$u(0, t)=u(\pi, t)=1, t>0$

$u(x, 0)=1,0<x<\pi$

Equation Transcription:

$\frac{\partial{}u}{\partial{}t}=3\frac{{\partial{}}^{2}u}{\partial{}{x}^{2}}+5,\ 0<x<\pi{},\ t>0$

$u(0,t)=u(\pi{},t)=1,\ t>0$

$u(x,0)=1,\ 0<x<\pi{}$

Text Transcription:

\partial u \partial t=3 \partial^2 u \partial x^2+5,0<x<\pi, t>0

u(0, t)=u(\pi, t)=1, t>0

u(x, 0)=1,0<x<\pi

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