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Ordinary Differential Equations
2000We shall speak of ordinary differential equation if an equation contains time-dependent (or more generally, scalar-dependent) variables as well as their derivatives with respect to time (or another scalar). Since we shall always consider ordinary differential equations in this book, we shall drop the adjective ordinary. We shall see the deep similarity
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Ordinary Differential Equations.
The American Mathematical Monthly, 1963J. C. Burkill +2 more
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Applications to Ordinary Differential Equations
1971Publisher Summary The theories of ordinary and partial differential equations are the fruitful sources of integral equations. In the quest for the representation formula for the solution of a linear differential equation in such a manner so as to include the boundary condition or initial condition explicitly, one is always led to an integral equation.
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Ordinary Differential Equations
1996We begin with a general form of the problem that will occupy our attention throughout most of Chapter I. Consider the linear two-point boundary value problem $$ Lu: = - \varepsilon u'' + b\left( x \right)u' + c\left( x \right)u = f\left( x \right)\quad for\quad x \in \left( {d,e} \right), $$ with the boundary conditions $$ \begin{gathered} {\
Lutz Tobiska +2 more
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Ordinary Differential Equations
1989The major purpose of the present chapter is to demonstrate the use of the volume integral method in deriving accurate, stable, and physically realistic difference equations from ordinary differential equations. A secondary purpose is to develop the proper ideas and procedures for later use in deriving difference equations from partial differential ...
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Colloidal Self-Assembly Approaches to Smart Nanostructured Materials
Chemical Reviews, 2022Zhiwei Li Li, Yadong Yin
exaly
New Creatinine- and Cystatin C–Based Equations to Estimate GFR without Race
New England Journal of Medicine, 2021Lesley A Inker +2 more
exaly
Ordinary Differential Equations
2019The concept of first integrals of ODEs is introduced. Application is made to Newton’s second law of motion in one dimension.
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