Examples of using Linear differential in English and their translations into Serbian
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System of linear differential equations.
This equivalence can be used to quickly solve for the recurrence relationship for the coefficients in the power series solution of a linear differential equation.
System of linear differential equations.
Arguably it could be called the"Petzval transformation", since he was the first to study it andits applications in usual linear differential equations systematically.
Systems of linear differential equations.
He made important contributions in the theory of differential equations, including work on Picard-Vessiot theory, Painlevé transcendents andhis introduction of a kind of symmetry group for a linear differential equation.
Systems of linear differential equations.
The characteristic property of linear equations is that their solutions form an affine subspace of an appropriate function space,which results in much more developed theory of linear differential equations.
Solving Linear Differential Equations.
The general form of a first order linear differential equation is.
Linear differential equations frequently appear as approximations to nonlinear equations.
It's called a first-order linear differential equation.
Homogeneous linear differential equations are a further subclass for which the space of solutions is a linear subspace i.e.
The general form of the first order linear differential equation is as follows.
Linear differential equations, which have solutions that can be added and multiplied by coefficients, are well-defined and understood, and exact closed-form solutions are obtained.
The superposition principle holds for the electric andmagnetic fields because they are the solution to a set of linear differential equations, namely Maxwell's equations, where the current is one of the"source terms".
Linear differential equations with constant coefficients: Solutions of second and higher order differential equations- inverse differential operator method, a method of undetermined coefficients and method of variation of parameters.
OT2JMF- Equations of Mathematical PhysicsCourse specificationNoThe goalFamiliarizing students with the basic concepts of contour problems for linear differential equations, orthogonal polynomials and differential equations of mathematical physicsThe outcomeTraining students for solving actual problems in electrical engineering by using orthogonal polynomials and differential equations of mathematical physicsContentsContents of lecturesEigenvalues and eigenfunctions, Sturm-Liouville's problem, Orthogonal polynomials, Differential equations and orthogonality for the polynomials of Legendre, Hermite, Laguerre and Chebyshev.
The method for solving linear differential equations is similar to the method above-the"intelligent guess"(ansatz) for linear differential equations with constant coefficients is eλx where λ is a complex number that is determined by substituting the guess into the differential equation.
OS3JMF- Equations of Mathematical PhysicsCourse specificationNoThe goalFamiliarizing students with the basic concepts of contour problems for linear differential equations, orthogonal polynomials and differential equations of mathematical physicsThe outcomeTraining students for solving actual problems in electrical engineering by using orthogonal polynomials and differential equations of mathematical physicsContentsContents of lecturesEigenvalues and eigenfunctions, Sturm-Liouville's problem, Orthogonal polynomials, Differential equations and orthogonality for the polynomials of Legendre, Hermite, Laguerre and Chebyshev.
Lars Valter Hörmander(24 January 1931- 25 November 2012)was a Swedish mathematician who has been called"the foremost contributor to the modern theory of linear partial differential equations".
It is nota simple algebraic equation, but in general a linear partial differential equation, describing the time-evolution of the system's wave function(also called a"state function").
His lectures on the theory of algebraic equations,which integrated linear and differential equations with constant and variable coefficients, ballistics, acoustic theory, and other areas were high quality and became well attended.
Although this result might appear to settle the existence and uniqueness of solutions,there are examples of linear partial differential equations whose coefficients have derivatives of all orders(which are nevertheless not analytic) but which have no solutions at all.
It is not a simple algebraic equation,but in general a linear partial differential equation, describing the time-evolution of the system's wave function(also called a'state function')."[2] The concept of a wavefunction is a fundamental postulate of quantum mechanics.