We　present　the　exact　analytic　solution　to　the　nonlinear　dynamic　system　describing　the　information　propagation　process　in　complex　networks.　The　method　is　to　switch　to　the　dynamic　system　of　equations　for　the　new　variables　defined　according　to　the　nonlinear　terms　appearing　in　the　original　dynamic　system,　and　then,　after　combining　relevant　consistent　condition　of　solution　to　reduce　the　dynamic　system　of　equations　for　the　newly　defined　variables　to　the　knownly　solvable　nonlinear　Bernoulli　differential　equation.　Numerical　comparisons　between　the　purely　numerical　solution　and　the　exact　analytic　solution　confirm　the　crosscheck　and　mutual　proof　for　both　of　the　solutions.　The　presented　exact　analytic　solution,　which　does　not　restrict　the　coefficients　in　the　original　dynamic　system　to　merely　constants,　is　thus　suitable　for　the　study　of　information　propagation　in　networks　with　evolving　structure　and　changing　properties.　(C)　2019　Elsevier　B.V.　All　rights　reserved.