# differential equations In A Sentence

Learn how to use **differential equations in a sentence** and make better **sentences with `differential equations`** by reading **differential equations sentence examples**.

- It dosn't require much background such as
**differential equations**. - These are nonlinear
**differential equations**that typically need to be solved using the techniques of computational fluid dynamics. - In this paper, we investigate a class of integro-differential equations with one parameter and integral boundary conditions.
- Areas covered include linear algebra, optimization, quadrature,
**differential equations**, regression analysis, and time series analysis. - Linear equationms are normally modeled using linear integro-differential equations.
- The
**differential equations**of the censorial moving and running relative to censorial of the eccentric vibration seed-metering system were set up with the dynamic analysis method. - Hamiltonian theory is an important element of integrable systems, whether discrete, ordinary differential or partial
**differential equations**. - This paper presents and proves a sufficient condition of the invertibility of a general class of dynamic systems, which are represented by input- output
**differential equations**. **Differential equations**are equations involving derivatives.- By the second general method the moon's co-ordinates are obtained in terms of the time by the direct integration of the
**differential equations**of motion, retaining as algebraic symbols the values of t - The
**differential equations**determining the evolution function ? " t " are often ordinary**differential equations**: in this case the phase space " M " is a finite dimensional manifold. - I'm a Mechanical Engineering student in
**differential****equations**and Calc III at the moment. - Laplace transformation, array, vector, determinate, linear equation set, Fourier series, partial
**differential equations**. - Three new second-order quadratic
**differential equations**were put forward and their integrability was demonstrated with the method of order degradation and linearization. - Abandoning differentiability doesn't mean abandoning
**differential equations**. - With them, we can still deal with the nondifferentiable case with the tools of
**differential equations**. - However, the author never requires that you actually know how to solve any
**differential equations**. - But later, she decides that raising babies is more fun than
**differential equations**. - The existence and uniqueness of solution for the fractional
**differential equations**of Endolymph is proved. - Finesse this problem by starting with the applications, considering some specific non-linear
**differential equations**. - A Parallel Partial
**differential****equations**Solver Generator on World Wide Web. - Doctoral dissertation in the field of
**differential equations**he defended in 1912 in Giessen. - The
**differential equations**which completely determine the changes in the co-ordinates x and y, or the motion of m relative to M, are: - d2x (M+m)x di' r3 (1) d2y _ (M+m)y dt 2 r3 These formulae are wo - In fact, the information-processing mechanisms are designed for implementing the systems of
**differential equations**associated with neural networks. - The quantum dynamics of optical excitations yields an integro-differential equations that constitute the SBEs.
- Black women, you see, swoon over Denzel Washington and Wesley Snipes because these men are proficient at computing
**differential equations**. - I found it to be one of the better texts in
**differential equations**that I have come across. - In addition, he wrote a number of scientific memoirs and papers, including two on the integration of partial
**differential equations**(Jour. - By means of variable substitution method, this paper discusses some kinds of second order nonlinear
**differential equations**and their integrality and gives the expression to general solutions. - Ordinary
**differential equations**, Partial**differential equations**, Linear algebra, Special functions, Calculus of variation. - It successfully replaces the solving of complicated
**differential equations**in the kineto-elastodynamic(KED) analysis with the solving of a set of algebraic equations, saving a lot of computing time. - The dynamical property of this model is described by dual
**differential equations**and it can find out several stable equilibrium points from any initial point in the state space. - For most of the nonlinear partial
**differential equations**which we have tested, the running time is no more than 10 seconds. - The calculus has been applied to stochastic partial
**differential equations**as well. - A discussion, before
**differential equations**, on related rates would be nice. - You will need a math background through
**differential equations**to be comfortable with these. - As an example, humans use
**differential equations**and complex numbers to solve simple harmonic motion. - Leave the computational stuff to the ordinary
**differential equations**course. - The results are applied to a class of retarded delay
**differential equations**. - Five others concentrate on various forms of analysis and
**differential equations**. - Without astonishment," even to himself, regard being had to the great generality of the
**differential equations**, he reached a result so wide as to include, as a particular case, the solution of the pla - In the paper, author has studied the inverse problem about a class of quasi-linear partial
**differential equations**of parabolic type by monotone method, proved uniqueness and stability. - Together with the previous two matrix
**differential equations**these are the "'OPE " '. - Semigroup theory can be used to study some problems in the field of partial
**differential equations**. - The overwhelming majority of nonlinear
**differential equations**are not soluble analytically. - Detailed analysis may be undertaken in a manner similar to that for the first order ordinary
**differential equations**. - Nieto's work may be considered to fall under the ambit of
**differential equations**. - The qualitative theory of ordinary
**differential equations**and numerical simulation method were employed to investigate the kink waves of a nonlinear quartic wave equation. - Notation for monomials is constantly required in fields like partial
**differential equations**. - The mathematical models of the glycolytic pathway take the form of ordinary nonlinear
**differential equations**. - Physical laws described by
**differential equations**correspond to deterministic systems. - Laplace's equation is then separated into two ordinary
**differential equations**. - A little bit of work it might take to learn
**differential equations**maybe. - Having obtained the initial conditions, we goon to solve the network
**differential equations**. - For example, P . polycephalum has been modeled as a set of
**differential equations**inspired by electrical networks. - Returning to
**differential equations**, Hamming studied means of numerically integrating them. - This decomposition is of great importance for everything from digital image processing ( two-dimensional ) to solving partial
**differential equations**. - Chapter One lists some important theorems in the qualitative theory and the stability theory of ordinary
**differential equations**. - The well-known Treatise on
**differential****equations**appeared in 1859, and was followed, the next year, by a Treatise on the Calculus of Finite Differences, designed to serve as a sequel to the former wo - The kinetics of radiolabeled compounds in a compartmental system can be described in terms of a set of first-order, constant-coefficient, ordinary
**differential equations**. - You can actually understand it without the heavy
**differential****equations**and Calculus. - By using complex numbers, they eliminate, in this case,
**differential equations**altogether. - Derived on the basis of the theory of thin shells, the governing
**differential equations**are established from the displacement method and the mixed method of derivation. - By using fixed point theory, in this paper we study the existence of triple positive solutions for a class of second-order
**differential equations**with integral boundary conditions. - These systems can be described by a set of ordinary
**differential equations**(ODEs) or map. - Using the exponential dichotomy and ergodicity of functions, we discuss the existence conditions of asymptotically almost periodic solution for some linear
**differential equations**. - He appears to have attended Dirichlet's lectures on theory of numbers, theory of definite integrals, and partial
**differential equations**, and Jacobi's on analytical mechanics and higher algebra. - To understand them requires a background in calculus and
**differential equations**. - The proof of the existence of such
**differential equations**by previously known monodromy matrices is one of the Hilbert problems. - The
**differential equations**are eqs. - Rather, FPM is a strong formulation which models
**differential equations**by direct approximation of the occurring differential operators. - The groundwater flow is simulated with the seepage model of heterogeneity isotrope, and the partial
**differential equations**are solved with finite difference scheme of irregular triangle net. - These are four tensorial
**differential equations**and their solution is the radiation field. - This version of Parareal can also stably integrate linear hyperbolic partial
**differential equations**. - In 1728 Euler gave
**differential equations**for geodesics on surfaces. - By the parametric representation, fuzzy number means a bounded continuous curve in the two-dimensional metric space R2, so that it is easy to analyze fuzzy
**differential equations**. - A dog can catch a Frisbee without solving
**differential equations**. - Innovative Upper School courses include Evolutionary Genetics, Learning About Home, Global Challenge since 1945, and Multivariable Calculus with
**differential****equations**. - The following techniques apply to one-dimensional autonomous
**differential equations**. - By page 60 we're already at
**differential equations**so hang on to your saddle. - The Galerkin method ( or Bubnov-Galerkin method ) with Galerkin's ( or " weak " )
**differential equations**problem statement form are known all over the world. - Besides their practical use in the evaluation of integrals and the explicit solution of certain
**differential equations**, they have deep connections with elliptic curves and modular forms. - So finally, we will obtain the unsurpassable ultimate understanding of psychological issues by explaining them as the solutions of
**differential equations**.-- Talk 12 : 40, 3 May 2007 ( UTC). - Analog computers are especially well-suited to representing situations described by
**differential equations**. **Differential****equations**, refractive indexes, hyperspace, quantum mechanics etc.- Most
**differential equations**are not solved. - This representation relies only on the displacement components of the mid_plane, which are governed by a set of two_dimensional
**differential equations**similar to those in the classical plate theory. - The nonlinear
**differential equations**of motion for a parachutepayload system are developed, which model the parachute suspension lines and the riser as inelastic elements. - The coupled
**differential equations**of the dimensionless beam width parameters of two optical beams are solved. - As a important basis of calculating the distortion and strength of the buried pipeline, the paper gives out the space curve
**differential equations**of elastic foundation-beam (displacement equation). - In a case like the present one, where there are two
**differential equations**of the second order, there will be four such constants. - Aiming at wire rope and skip in loading, movement
**differential equations**of skip with different mass and longitudinal vibration**differential equations**of wire rope were proposed. - Discretization in the space produces a system of ordinary
**differential equations**for unsteady problems and algebraic equations for steady problems. - The theory has applications to both ordinary and partial
**differential equations**. - Emphasizes solving
**differential equations**, which can be very tedious work. - And the evolution of the statistical average values of the set of operators with time satisfy a group of one-order linearly
**differential equations**. - The qualitative theory of ordinary
**differential equations**and numerical simulation method are employed to investigate the kink waves of a nonlinear quartic equation. - He uses over 2200 videos to explain everything from algebra to
**differential equations**. - A direct domain decomposition method was presented for the parabolic partial
**differential equations**on nonoverlapping domains. - Homogeneous, linear partial
**differential equations**.

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