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...tle=The Aboodh Transform Techniques to Ulam Type Stability of Linear Delay Differential Equation |url=https://doi.org/10.1007/s40819-023-01577-5 |journal=Internati ...nsform Iterative Method for Solving Time – Fractional Partial Differential Equations |url=https://www.gssrr.org/index.php/JournalOfBasicAndApplied/article/view/ ...

...93 |title=Sumudu transform: a new integral transform to solve differential equations and control engineering problems |url=http://www.tandfonline.com/doi/abs/10 ...

...anings. In the most common acceptance, quasistatic approximation refers to equations that keep a static form (do not involve [[time derivative]]s) even if some ...s to a situation where all time derivatives can be neglected. However some equations can be considered as quasistatic while others are not, leading to a system ...

...charge|charges]] are stationary. The magnetization need not be static; the equations of magnetostatics can be used to predict fast [[Magnetization reversal|magn ===Magnetostatics as a special case of Maxwell's equations=== ...

...surface integral|surface]], d'''S''' is the [[Differential (infinitesimal)|differential]] [[vector area]] element, '''n''' is the [[unit normal]] to the surface. ' ==Equations== ...

The '''Ishimori equation''' is a [[partial differential equation]] proposed by the Japanese [[mathematician]] {{harvtxt|Ishimori|19 ...onto.edu/wiki/index.php/Ishimori_system Ishimori_system] at the dispersive equations wiki ...

...in an [[inertial frame of reference]] is employed to simplify [[Maxwell's equations]] as:<ref name=Griffiths /> ...', ''t'')}} and {{nowrap|'''j'''('''r''', ''t'')}}, the solutions to these equations in SI units are:<ref name=grant>{{cite book|title=Electromagnetism|url=http ...

...[[electromagnetic wave equation]]s. The equations follow from [[Maxwell's equations]]. == Maxwell's equations == ...

...]. A third way to specify an LTI system is by its characteristic [[linear differential equation]] (for analog systems) or linear [[difference equation]] (for digi ...es a complete [[Function (mathematics)|function]], or partial differential equations. ...

...l]] length of a small element of a defined curve, the contribution of that differential length to circulation is {{math|dΓ}}: === Fundamental equations of electromagnetism === ...

...rangian]]) rather than the initial conditions, values or magnitudes of the equations themselves and state that the laws remain unchanged under a transformation. To formally describe time-translation symmetry we say the equations, or laws, that describe a system at times <math>t</math> and <math> t + \ta ...

...|exterior derivative]] of the [[electromagnetic four-potential]], ''A'', a differential 1-form:<ref>{{cite book |author1=J. A. Wheeler |author2=C. Misner |author3= Therefore, ''F'' is a [[differential form|differential 2-form]]—that is, an antisymmetric rank-2 tensor field—on Minkowski space. ...

==Equations== ! scope="col" width="10" | Equations ...

...try. Conserved currents play an important role in the theory of [[partial differential equation]]s, as the existence of a conserved current points to the existenc The ''conservation of charge'', for example, in the notation of [[Maxwell's equations]], ...

{{Short description|Equations of electromagnetism}} ...'' charges and currents. They are the particular solutions to [[Maxwell's equations]] for any arbitrary distribution of charges and currents.<ref>[[Oleg D. Jef ...

==Maxwell's original equations== ...ions]], until this term became applied instead to a vectorized set of four equations selected in 1884, which had all appeared in his 1861 paper "[[On Physical L ...

[[Image:chain hoist.svg|thumb|right|Example of a differential pulley]] ...fferential pulley''' —also called "Weston differential pulley", sometimes "differential hoist", "chain hoist", or colloquially "chain fall"— is used to manually li ...

After Maxwell proposed the [[Maxwell's equations|differential equation model]] of the electromagnetic field in 1873, the mechanism of act The requirement that the equations remain consistent when viewed from various moving observers led to [[specia ...

...te the [[Steady state (electronics)|steady-state response]] of [[nonlinear differential equation]]s,<ref>{{cite book Consider the differential equation <math>\ddot x + x^3 = 0</math>. We use the [[ansatz]] solution <ma ...

{{Short description|Partial differential equation used in physics}} ...imensions|three-dimensional form of the wave equation]]. The [[Homogeneous differential equation|homogeneous]] form of the equation, written in terms of either the ...