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Q: What is differential solution?
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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 is the general solution of a differential equation?

It is the solution of a differential equation without there being any restrictions on the variables (No boundary conditions are given). Presence of arbitrary constants indicates a general solution, the number of arbitrary constants depending on the order of the differential equation.


What is a numerical solution of a partial differential equation?

Some partial differential equations do not have analytical solutions. These can only be solved numerically.


What is impulsive system in differential equation?

A differential equation have a solution. It is continuous in the given region, but the solution of the impulsive differential equations have piecewise continuous. The impulsive differential system have first order discontinuity. This type of problems have more applications in day today life. Impulses are arise more natural in evolution system.


Why you need the numerical solution of partial differential equations?

Very often because no analytical solution is available.


What is the local solution of an ordinary differential equation?

The local solution of an ordinary differential equation (ODE) is the solution you get at a specific point of the function involved in the differential equation. One can Taylor expand the function at this point, turning non-linear ODEs into linear ones, if needed, to find the behavior of the solution around that one specific point. Of course, a local solution tells you very little about the ODE's global solution, but sometimes you don't want to know that anyways.


What is oscillatory solution in differential equations?

It happens when the solution for the equation is periodic and contains oscillatory functions such as cos, sin and their combinations.


The solution to the differential equation dydxx2y3 , where y (3) 3 is?

y = 43x3+45‾‾‾‾‾‾‾‾‾‾√4


What is monge's Method?

Monge's method, also known as the method of characteristics, is a mathematical technique used to solve certain types of partial differential equations. It involves transforming a partial differential equation into a system of ordinary differential equations by introducing characteristic curves. By solving these ordinary differential equations, one can find a solution to the original partial differential equation.


Free download solution differential equation of eight edition?

y=c1e^x + c2e^-x


What has the author Tarek P A Mathew written?

Tarek P. A. Mathew has written: 'Domain decomposition methods for the numerical solution of partial differential equations' -- subject(s): Decomposition method, Differential equations, Partial, Numerical solutions, Partial Differential equations


What has the author Leon Lapidus written?

Leon Lapidus has written: 'Numerical solution of ordinary differential equations' -- subject(s): Differential equations, Electronic data processing, Numerical analysis, Mathematics