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Q: What are the applications of ordinary differential equations in general?
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What has the author Robert Carmichael written?

Robert Carmichael has written: 'On the general theory of the integration of non-linear partial differential equations' -- subject(s): Differential equations, Partial, Partial Differential equations


What is the global solution of an ordinary differential equation?

The global solution of an ordinary differential equation (ODE) is a solution of which there are no extensions; i.e. you can't add a solution to the global solution to make it more general, the global solution is as general as it gets.


What has the author Lawrence F Shampine written?

Lawrence F. Shampine has written: 'Fundamentals of numerical computing' -- subject(s): Numerical analysis, Data processing 'The variable order Runge-Kutta code RKSW and its performance' -- subject(s): Runge-Kutta formulas 'Variable order Runge-Kutta codes' -- subject(s): Runge-Kutta formulas 'Theory and practice of solving ordinary differential equations (ODEs)' -- subject(s): Differential equations, Numerical solutions 'Variable order Runge-Kutta codes' -- subject(s): Runge-Kutta formulas 'A user's view of solving stiff ordinary differential equations' -- subject(s): Differential equations, Numerical solutions, Stiff computation (Differential equations) 'Linear equations in general purpose codes for stiff OKEs' -- subject(s): Differential equations, Numerical solutions 'Evaluation of implicit formulas for the solution of ODEs' -- subject(s): Implicit functions, Differential equations 'The variable order Runge-Kutta code RKSW and its performance' -- subject(s): Runge-Kutta formulas 'The variable order Runge-Kutta code RKSW and its performance' -- subject(s): Runge-Kutta formulas


What has the author M Francaviglia written?

M. Francaviglia has written: 'Applications of infinite-dimensional differential geometry to general relativity' -- subject(s): Differential Geometry, Function spaces, General relativity (Physics) 'Elements of differential and Riemannian geometry' -- subject(s): Differential Geometry, Riemannian Geometry


How do you find general solutions to difference equations in time series give written example please?

The answer will depend on the nature of the differential equation.


How is math used in robotic engineering?

These are the general math courses in an undergraduate program of Mechanical Engineering. Actually, these are also the math courses required in ANY undergraduate Engineering curriculum: Algebra Trigonometry Analytic Geometry Differential Calculus Integral Calculus Mutivariable Calculus Differential Equations


According to the theory of general relativity space is curved most?

the curvature of space time is directly related to the energy and momentum of whatever matter and radiation are present. The relation is specified by the Einstein field equations, a system of partial differential equations.


What are good books on differential equations for novices?

The book I used in college, and still use when needed, is A First Course in Differential Equations, by Dennis Zill. It's very clearly written with tons of problems and examples.The book Mathematics From the Birth of Numbers, by Jan Gullberg, is a cool book in general and also has a short and sweet introduction to ordinary differential equations (ODEs) at the end. He derives the general theories of ODEs pretty much entirely through the use of applications.Gradshteyn and Ryzhik's Table of Integrals, Series, and Products, which is a must-own book for mathematicians and scientists anyways, also has a rather short, but surprisingly detailed section on ODEs toward the end. I wouldn't recommend this for a novice, but it's a great reference to have once you've become familiar with differential equations.Mathematical Methods in the Physical Sciences, by Mary Boas, is a classic text covering many topics, including ODEs and PDEs (partial differential equations). I'd get this book simply for the immense amount of very useful topics it introduces in all the fields of mathematics, including the calculus of variations, tensor analysis, and functional analysis.Eventually, you'll need or want to learn about PDEs, and the most intuitive and comprehensible book I've seen regarding them is Partial Differential Equations for Scientists and Engineers, by Stanley Farlow. It's almost (if such a thing can be said about a rigorous math book) entertaining.


How maths is used in robotics?

These are the general math courses in an undergraduate program of Mechanical Engineering. Actually, these are also the math courses required in ANY undergraduate Engineering curriculum: Algebra Trigonometry Analytic Geometry Differential Calculus Integral Calculus Mutivariable Calculus Differential Equations


What is Exact ordinary differential equation?

exact differential equation, is a type of differential equation that can be solved directly with out the use of any other special techniques in the subject. A first order differential equation is called exact differential equation ,if it is the result of a simple differentiation. A exact differential equation the general form P(x,y) y'+Q(x,y)=0Differential equation is a mathematical equation. These equation have some fractions and variables with its derivatives.


What was Albert Einstein's general theory of relativity?

Albert Einstein's Theory of General Relativity was a complex book. He summarized the activities of coulombic and gravitational forces. The book contains many differential equations. Even people who have worked every equation in the book sometimes find it hard to follow.


What has the author Denny Gulick written?

Denny Gulick has written: 'Calculus' 'Encounters with Chaos and Fractals' -- subject(s): MATHEMATICS / Number Theory, Chaotic behavior in systems, Fractals, MATHEMATICS / Geometry / General, MATHEMATICS / Differential Equations