Transcription of Ch 9 (8 9 09)
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Ch 9 (8 9 09)
Overview(i)An equation involving derivative (derivatives) of the dependent variable withrespect to independent variable (variables) is called a differential equation.(ii)A differential equation involving derivatives of the dependent variable withrespect to only one independent variable is called an ordinary differentialequation and a differential equation involving derivatives with respect to morethan one independent variables is called a partial differential equation.(iii)Order of a differential equation is the order of the highest order derivativeoccurring in the differential equation.(iv)Degree of a differential equation is defined if it is a polynomial equation in itsderivatives.(v)Degree (when defined) of a differential equation is the highest power (positiveinteger only) of the highest order derivative in it.
9.1 Overview (i) An equation involving derivative (derivatives) of the dependent variable with respect to independent variable (variables) is called a differential equation.
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Finite difference method, Differential equations, Finite Difference Method for Ordinary Differential Equations, Method of Lines, Differential, Equations, Ordinary differential equations, Differential Equations I, Order Ordinary, Order, INTEGRATING FACTOR METHOD, Equations INTEGRATING FACTOR METHOD, Elementary Differential Equations