2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94479By linearizing the inhomogeneous Burgers equation through the Hopf-Cole transformation, we formulate the solution of the initial value problem of the corresponding linear heat type equation using the Feynman-Kac path integral formalism. For illustration, we present the exact solution for the forcing term of the form: $F(x,t)=ω^2x+f(t).$ We also present the initial value problem solution for the case with a constant forcing term to compare with the known result.12 pagesExactly Solvable and Integrable SystemsHigh Energy Physics - Theorytext