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