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How to know that linear differential equation is time invariant or time variant?
Wiki User
∙ 10y ago
If the coefficients of the linear differential equation are dependent on time, then it is time variant otherwise it is time invariant.
E.g: 3 * dx/dt + x = 0 is time invariant
3t * dx/dt + x = 0 is time variant
Wiki User
∙ 10y ago
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What is an Airy equation?
An Airy equation is an equation in mathematics, the simplest second-order linear differential equation with a turning point.
What is bratu equation?
the Bratu's equation is a differential equation which is non-linear (such as, if we have some solutions for it, a linear combinaison of these solutions will not be everytime a solution). It's given by the equation y''+a*e^y=0 or d²y/dy² =-ae^y.
What are different ways to solve a system of equation?
That depends on what type of equation it is because it could be quadratic, simultaneous, linear, straight line or even differential
What is nonlinear ordinary differential equation?
An ordinary differential equation is an equation relating the derivatives of a function to the function and the variable being differentiated against. For example, dy/dx=y+x would be an ordinary differential equation. This is as opposed to a partial differential equation which relates the partial derivatives of a function to the partial variables such as d²u/dx²=-d²u/dt². In a linear ordinary differential equation, the various derivatives never get multiplied together, but they can get multiplied by the variable. For example, d²y/dx²+x*dy/dx=x would be a linear ordinary differential equation. A nonlinear ordinary differential equation does not have this restriction and lets you chain as many derivatives together as you want. For example, d²y/dx² * dy/dx * y = x would be a perfectly valid example
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 an Airy equation?
An Airy equation is an equation in mathematics, the simplest second-order linear differential equation with a turning point.
What is integrating factor of linear differential equation?
What is integrating factor of linear differential equation? Ans: assume y = y(x) in the given linear ODE. Then, by an integrating factor of this ODE, we mean a function g(x) such that upon multiplying the ODE by g(x), it is transformed into an exact differential of the nform d[f(x)] = 0.
What is bratu equation?
the Bratu's equation is a differential equation which is non-linear (such as, if we have some solutions for it, a linear combinaison of these solutions will not be everytime a solution). It's given by the equation y''+a*e^y=0 or d²y/dy² =-ae^y.
What is the difference between a homogeneous and a non-homogeneous differential equation?
Homogeneous differential equations have all terms involving the dependent variable and its derivatives, while non-homogeneous equations include additional terms independent of the dependent variable.
What are different ways to solve a system of equation?
That depends on what type of equation it is because it could be quadratic, simultaneous, linear, straight line or even differential
What is nonlinear ordinary differential equation?
An ordinary differential equation is an equation relating the derivatives of a function to the function and the variable being differentiated against. For example, dy/dx=y+x would be an ordinary differential equation. This is as opposed to a partial differential equation which relates the partial derivatives of a function to the partial variables such as d²u/dx²=-d²u/dt². In a linear ordinary differential equation, the various derivatives never get multiplied together, but they can get multiplied by the variable. For example, d²y/dx²+x*dy/dx=x would be a linear ordinary differential equation. A nonlinear ordinary differential equation does not have this restriction and lets you chain as many derivatives together as you want. For example, d²y/dx² * dy/dx * y = x would be a perfectly valid example
Use of linear variable differential transducer?
how linear voltage differential transducer works?
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 has the author Charles Leonard Bouton written?
Charles Leonard Bouton has written: 'Invariants of the general linear differential equation and their relation to the theory of continuous groups' -- subject(s): Differential invariants
What are the systems classifications?
according to time domain 1)linear and non linear systems 2)stable and unstable systems 3)static and dynamic systems 4)causual and non casual systems 5)time variant and time invariant systems 6)invertable and non invariable systems
What has the author Leonid V Poluyanov written?
Leonid V. Poluyanov has written: 'Group properties of the acoustic differential equation' -- subject(s): Acoustical engineering, Differential equations, Linear, Elastic waves, Lie algebras, Lie groups, Linear Differential equations, Mathematical models, Representations of groups, Sound-waves
What has the author Richard Ernest Bellman written?
Richard Ernest Bellman has written: 'An introduction to invariant imbedding' -- subject(s): Invariant imbedding 'Dynamic programming and modern control theory' -- subject(s): Control theory, System analysis, Programming (Mathematics) 'An introduction to invariant imbedding [by] R. Bellman [and] G.M. Wing' -- subject(s): Invariant imbedding 'Invariant imbedding and the numerical integration of boundary-value problems for unstable linear systems of ordinary differential equations' -- subject(s): Differential equations, Invariant imbedding 'A simulation of the initial psychiatric interview' -- subject(s): Interviewing in psychiatry 'A new derivation of the integro-differential equations for Chandrasekhar's X and Y functions' -- subject(s): Radiative transfer 'An application of dynamic programming to the coloring of maps' -- subject(s): Dynamic programming, Map-coloring problem 'Mathematics, systems and society' -- subject(s): Computers, Mathematics, Philosophy, Science, Social aspects, Social aspects of Science 'On the construction of a mathematical theory of the identification of systems' -- subject(s): System analysis 'The invariant imbedding equations for the dissipation functions of an inhomogenous finite slab with anisotropic scattering' -- subject(s): Invariant imbedding, Boundary value problems 'Dynamic programming, generalized states, and switching systems' -- subject(s): Dynamic programming 'Some vistas of modern mathematics' -- subject(s): Invariant imbedding, Programming (Mathematics), Biomathematics 'Algorithms, graphs, and computers' -- subject(s): Dynamic programming, Algorithms, Graph theory 'Modern elementary differential equations' 'Invariant imbedding and a reformulation of the internal intensity problem in transport theory' -- subject(s): Invariant imbedding, Transport theory 'Wave propagation' -- subject(s): Invariant imbedding, Numerical solutions, Dynamic programming, Wave equation 'Dynamic programming, system identification, and suboptimization' -- subject(s): System analysis, Mathematical optimization, Dynamic programming 'Chandrasekhar's planetary problem with internal sources' -- subject(s): Atmosphere, Radiation 'Mathematical aspects of scheduling theory' -- subject(s): Programming (Mathematics) 'Some aspects of the mathematical theory of control processes' -- subject(s): Mathematical models, Industrial management, Cybernetics, Feedback control systems, Programming (Mathematics), Game theory 'Analytic number theory' -- subject(s): Number theory 'Dynamic programming of continuous processes' -- subject(s): Mathematics, Numerical calculations, Formulae 'A note on the identification of linear systems' -- subject(s): Differential equations, Linear, Linear Differential equations 'Mathematical experimentation in time-lag modulation' -- subject(s): Differential equations 'Analytical and computational techniques for multiple scattering in inhomogeneous slabs' -- subject(s): Scattering (Physics) 'Methods in approximation' -- subject(s): Approximation theory 'On a class of nonlinear differential equations with nonunique solutions' -- subject(s): Differential equations, Nonlinear, Nonlinear Differential equations, Numerical solutions 'On proving theorems in plane geometry via digital computer' -- subject(s): Geometry, Data processing 'Invariant imbedding and perturbation techniques applied to diffuse reflection from spherical shells' -- subject(s): Invariant imbedding 'A survey of the theory of the boundedness' -- subject(s): Differential equations, Difference equations 'Quasilinearization and nonlinear boundary-value problems' -- subject(s): Numerical solutions, Nonlinear boundary value problems, Boundary value problems, Programming (Mathematics)
