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All the equations we have stated in the preceding paragraphs and preceding paragraphs, concern the relation of the material particle either with the generalized photon, or with the accompanying particle.
A basic method for the study of the generalized particle is the elimination of the velocity, which also represents the trajectory, from the equations of the theory of selfvariations.
In view of the above problems of quantum mechanics, we should take into account of the nonlinear interactions of the particles, which was ignored in quantum mechanics in Equations (1) and (4).
From Equation (13) Pang obtained the solution of Equations (8)-(9) to be
The equation y = x - 2 can be graphed by using the x-intercept of the line.
The line y - x - 2 has one x-intercept namely (2, 0) and it relates to the solution x = 2 for the equation x - 2 = 0
This will give a system of algebra equations involving [a.
we can deal with the above tedious algebra equations and output directly the required solution.
Differential equations play a prominent role in engineering, physics, economics, and other disciplines.
In a very recent study [9], using an asymptotic expansion technique, the asymptotic equations governing unidirectional wave propagation of small-butfinite amplitude long waves in the nonlinear nonlocal elastic medium were derived.
Section 2 presents the governing equations of one-dimensional nonlocal nonlinear elasticity theory and gives the equation of motion in dimensionless quantities for two distinct forms of the kernel function.
Equations are the life blood of engineers, but research shows growing dissatisfaction with the choices for finding the equations needed to solve the problems engineers face.
A 2013 Knovel Engineering Survey found that roughly one-third of engineers rely on equations multiple times per day.
Wazwaz: The tank method for generalized forms of nonlinear heat conduction and Burgers-Fisher equations, Appl.
Wazwaz: Travelling wave solutions of generalized forms of Burgers, Burgers-KdV and Burgers-Huxley equations, Appl.