2: (a) Solve the wave equation (del^(2)u)/(delt^(2))=(1)/(4)(del^(2)u)/(delx^(2)) for u=u(x,t) with 0

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2: (a) Solve the wave equation (del^(2)u)/(delt^(2))=(1)/(4)(del^(2)u)/(delx^(2)) for u=u(x,t) with 0<=x<=2 and tinR satisfying the fixed ends condition u(0,t)=u(2,t)=0 for all tinR and the initial conditions u(x,0)=(sin pi x)(1+cos pi x) and (delu)/(delt)(x,0)=0 for all 0<=x<=2. (b) Find a constant c and function g(x) such that u(x,t)=g(x+ct)+g(x-ct) for all x,t. (c) By plotting points, accurately sketch the graphs u=u(x,t) (in the xu-plane) for t=0,(1)/(2),1,(3)/(2),2.

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Expert Answer to -  2: (a) Solve the wave equation (del^(2)u)/(delt^(2))=(1)/(4)(del^(2)u)/(delx^(2)) for u=u(x,t) with

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Solution for -  2: (a) Solve the wave equation (del^(2)u)/(delt^(2))=(1)/(4)(del^(2)u)/(delx^(2)) for u=u(x,t) with

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This an additional answer to -  2: (a) Solve the wave equation (del^(2)u)/(delt^(2))=(1)/(4)(del^(2)u)/(delx^(2)) for u=u(x,t) with

(Solved): 2: (a) Solve the wave equation (del^(2)u)/(delt^(2))=(1)/(4)(del^(2)u)/(delx^(2)) for u=u(x,t) with ...

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