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Resumen Con el continuo avance de las ciencias exactas, a traves de la tecnologia en diferentes contextos reales, se han utilizado modelos matematicos representados por ecuaciones diferenciales que describen el fenomeno que se quiere analizar, y la solucion ha permitido dar respuestas satisfactorias en el estudio y manipulacion de variables. Por tal razon, se realizo el siguiente articulo, en el cual se explican diversas aplicaciones de las ecuaciones diferenciales de primer orden en biologia, quimica, fisica y economia por medio del software matematico Derive, empleando dos tipos de metodologia: aplicativa y explicativa. Entre los temas tratados hay dos grupos; en el primero se encuentran: temperatura de un objeto al salir de un horno, crecimiento de una colonia bacteriana, carga e intensidad de corriente de un circuito RC, concentracion de sal en un tanque con salmuera y saldo de una cuenta bancaria con interes continuo, los cuales se determinan con respecto al paso del tiempo; y en el segundo estan: el acido valproic en el cuerpo, contaminacion del lago Michigan y datacion de un fosil con carbono 14, en los cuales se hallo un tiempo de acuerdo a los datos suministrados; debido a lo anterior, solo los ejercicios del primer grupo tienen graficas, y son exponenciales. Por ultimo, se determino que todos los ejercicios realizados tenian en comun la intervencion del tiempo. Ademas, se utilizo una constante adimensional dependiendo de la aplicacion. Palabras Claves:  Derive, Ecuacion diferencial de Primer orden, Modelo Matematico Abstract With the continuous advance of the exact sciences, through technology in different real contexts, we have used mathematical models represented by differential equations that describe the phenomenon to be analyzed, and the solution has allowed to give satisfactory answers in the study and manipulation Of variables. For this reason, the following article was developed, in which different applications of the first order differential equations in biology, chemistry, physics and economics are explained by the mathematical software Derive, using two types of methodology: application and explanatory. Among the topics discussed are two groups; In the first one are: temperature of an object when leaving a furnace, growth of a bacterial colony, load and current of an RC circuit, concentration of salt in a tank with brine and balance of a bank account with continuous interest, Which are determined with respect to the passage of time; And in the second they are valproic acid in the body, contamination of lake Michigan and dating of a fossil with carbon 14, in which a time was found according to the data supplied; Due to the above, only the exercises in the first group have graphs, and are exponential. Finally, it was determined that all the exercises performed had in common the intervention of time. In addition, a dimensionless constant was used depending on the application. Keywords: Derive, First order differential equation, Mathematical model

Solución de modelos matemáticos, utilizando el software derive en aplicaciones de ecuaciones diferenciales de primer orden