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(Solved): Partial Differential Equations  Consider the nonhomogeneous boundary-value problem (BVP): \[ \b ...


Partial Differential Equations 

Consider the nonhomogeneous boundary-value problem (BVP): \[ \begin{array}{cc} u_{u t}(x, t)=u_{x x}(x, t)+t \cos x, & 0<x<\f
Consider the nonhomogeneous boundary-value problem (BVP): \[ \begin{array}{cc} u_{u t}(x, t)=u_{x x}(x, t)+t \cos x, & 00 \\ u_{x}(0, t)=0, & t>0 \\ u\left(\frac{\pi}{2}, t\right)=0, & t>0 \\ u(x, 0)=3 \cos x-5 \cos 3 x, & 0


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