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Use-Laplace-transform-to-solve-u-x-u-t-x-x-gt-0-t-gt-0-u-0-t-0-u-x-0-0-t-gt-0-x-gt-0-




Question Number 110798 by princeshah703 last updated on 30/Aug/20
Use Laplace transform to solve  ∂u/∂x +∂u/∂t=x  x>0,t>0  u(0,t)=0,u(x,0)=0,t>0,x>0
$${Use}\:{Laplace}\:{transform}\:{to}\:{solve} \\ $$$$\partial{u}/\partial{x}\:+\partial{u}/\partial{t}={x} \\ $$$${x}>\mathrm{0},{t}>\mathrm{0} \\ $$$${u}\left(\mathrm{0},{t}\right)=\mathrm{0},{u}\left({x},\mathrm{0}\right)=\mathrm{0},{t}>\mathrm{0},{x}>\mathrm{0} \\ $$

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