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What is physical significance of Fourier series?

Fourier series is series which help us to solve certain physical equations effectively


HOW IS differential equations implemented in aircraft designing?

Differential equations are fundamental in aircraft design as they model various physical phenomena, such as fluid dynamics, structural integrity, and control systems. For instance, the Navier-Stokes equations, which are a set of partial differential equations, describe the airflow around the aircraft, helping engineers optimize aerodynamic shapes. Additionally, differential equations govern the dynamics of flight, allowing for the analysis and design of control systems that ensure stability and responsiveness. Overall, they provide critical insights that aid in predicting performance and enhancing safety in aircraft design.


What is the theory of finite differential method?

Finite Differential Methods (FDM) are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives.


What is harder than differential equations?

Many may find concepts in advanced mathematics, such as topology or abstract algebra, to be more challenging than differential equations due to their abstract nature and reliance on rigorous proofs. Additionally, topics in theoretical physics, such as quantum mechanics or general relativity, often involve complex differential equations and require a deep understanding of both mathematics and physical concepts. Ultimately, the difficulty of a subject can be subjective and varies based on individual strengths and interests.


Who invented differential equations?

Differential equations were invented separately by Isaac Newton and Gottfried Leibniz. This debate on who was the first one to invent it was argued by both Isaac and Gottfried until their death.

Related Questions

What has the author P Quittner written?

P. Quittner has written: 'Superlinear parabolic problems' -- subject(s): Differential equations, Elliptic, Differential equations, Parabolic, Differential equations, Partial, Elliptic Differential equations, Parabolic Differential equations, Partial Differential equations


What has the author George Francis Denton Duff written?

George Francis Denton Duff has written: 'Partial differential equations' -- subject(s): Differential equations, Partial, Partial Differential equations 'Differential equations of applied mathematics' -- subject(s): Differential equations, Differential equations, Partial, Mathematical physics, Partial Differential equations


What has the author J L Blue written?

J. L Blue has written: 'B2DE' -- subject(s): Computer software, Differential equations, Elliptic, Differential equations, Nonlinear, Differential equations, Partial, Elliptic Differential equations, Nonlinear Differential equations, Partial Differential equations


What has the author Laurent Veron written?

Laurent Veron has written: 'Singularities of solutions of second order quasilinear equations' -- subject(s): Differential equations, Elliptic, Differential equations, Nonlinear, Differential equations, Parabolic, Elliptic Differential equations, Nonlinear Differential equations, Numerical solutions, Parabolic Differential equations, Singularities (Mathematics)


What has the author Elemer E Rosinger written?

Elemer E. Rosinger has written: 'Generalized solutions of nonlinear partial differential equations' -- subject(s): Differential equations, Nonlinear, Differential equations, Partial, Nonlinear Differential equations, Numerical solutions, Partial Differential equations 'Distributions and nonlinear partial differential equations' -- subject(s): Differential equations, Partial, Partial Differential equations, Theory of distributions (Functional analysis)


What has the author David L Colton written?

David L. Colton has written: 'Analytic theory of partial differential equations' -- subject(s): Differential equations, Partial, Numerical solutions, Partial Differential equations 'Partial differential equations' -- subject(s): Differential equations, Partial, Partial Differential equations


What has the author Fritz John written?

Fritz John has written: 'Partial differential equations, 1952-1953' -- subject(s): Differential equations, Partial, Partial Differential equations 'Fritz John collected papers' 'Partial differential equations' 'On finite deformations of an elastic material' 'Plane waves and spherical means applied to partial differential equations' -- subject(s): Differential equations, Partial, Partial Differential equations 'On behavior of solutions of partial differential equations'


What has the author Daniel W Stroock written?

Daniel W. Stroock has written: 'Probability Theory, an Analytic View' 'An Introduction to the Analysis of Paths on a Riemannian Manifold (Mathematical Surveys & Monographs)' 'Partial differential equations for probabalists [sic]' -- subject(s): Differential equations, Elliptic, Differential equations, Parabolic, Differential equations, Partial, Elliptic Differential equations, Parabolic Differential equations, Partial Differential equations, Probabilities 'Essentials of integration theory for analysis' -- subject(s): Generalized Integrals, Fourier analysis, Functional Integration, Measure theory, Mathematical analysis 'An introduction to partial differential equations for probabilists' -- subject(s): Differential equations, Elliptic, Differential equations, Parabolic, Differential equations, Partial, Elliptic Differential equations, Parabolic Differential equations, Partial Differential equations, Probabilities 'Probability theory' -- subject(s): Probabilities 'Topics in probability theory' 'Probability theory' -- subject(s): Probabilities


Does College Algebra have differential equations in it?

No. Differential equations come up in Calculus.


When was Differential Equations - journal - created?

Differential Equations - journal - was created in 1965.


What has the author Enzo Mitidieri written?

Enzo Mitidieri has written: 'Apriori estimates and blow-up of solutions to nonlinear partial differential equations and inequalities' -- subject(s): Differential equations, Nonlinear, Differential equations, Partial, Inequalities (Mathematics), Nonlinear Differential equations, Partial Differential equations


What are the different Types of mathematical equations?

Algebraic equations, trigenometric equations, linear equations, geometric equations, partial differential equations, differential equations, integrals to name a few.