2025-04-01https://repository.covenantuniversity.edu.ng/handle/123456789/38926In this paper, the differential calculus was used to obtain some classes of ordinary differential equations (ODE) for the probability density function, quantile function, survival function, inverse survival function, hazard function and reversed hazard function of the 3-parameter Weibull distribution. The stated necessary conditions required for the existence of the ODEs are consistent with the various parameters that defined the distribution. Solutions of these ODEs by using numerous available methods are a new ways of understanding the nature of the probability functions that characterize the distribution.application/pdfQ Science (General), QA MathematicsConference or Workshop Item