Partial differential equations

Omega equation

The omega equation is a culminating result in synoptic-scale meteorology. It is an elliptic partial differential equation, named because its left-hand side produces an estimate of vertical velocity, customarily expressed by symbol , in a pressure coordinate measuring height the atmosphere. Mathematically, , where represents a material derivative. The underlying concept is more general, however, and can also be applied to the Boussinesq fluid equation system where vertical velocity is in altitude coordinate z. (Wikipedia).

Video thumbnail

Solving an exponential equation using the one to one property 16^x + 2 = 6

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspo

From playlist Solve Exponential Equations with Logarithms

Video thumbnail

Learn how to solve an exponential equation 2^(x-3) = 32

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspo

From playlist Solve Exponential Equations without a Calculator

Video thumbnail

Using one to one property when exponents do not have the same base, 25^(x+3) = 5

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspo

From playlist Solve Exponential Equations without a Calculator

Video thumbnail

Learn how to solve an exponential equation by isolating exponent and taking log 10^x +5=50

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspo

From playlist Solve Exponential Equations with Logarithms

Video thumbnail

Solving an exponential equation by using change of base for logarithms

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspo

From playlist Solve Exponential Equations with Logarithms

Video thumbnail

Learn how to isolate and take the log of both sides to solve the equation

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspo

From playlist Solve Exponential Equations with Logarithms

Video thumbnail

Solving two step equations with a rational expression on one side

👉 Learn how to solve two step rational linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. A rational equation is an equation containing at least one fraction whose numerator and (or) denominator are polynomials. To solve for a variable in a

From playlist Solve Two Step Equations with a Rational Fraction

Video thumbnail

Using the change of base to help solve an exponential equation

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspo

From playlist Solve Exponential Equations with Logarithms

Video thumbnail

Forced Harmonic Motion: Solution (5.6)

In this video, I find the particular solution to the equation of motion for a driven damped harmonic oscillator.

From playlist Intermediate Classical Mechanics

Video thumbnail

Resonance

Considers the forced simple harmonic oscillator equation and the limit as the frequency of the force approaches the natural frequency of the oscillator. Join me on Coursera: Matrix Algebra for Engineers: https://www.coursera.org/learn/matrix-algebra-engineers Differential Equations for

From playlist Differential Equations

Video thumbnail

الاهتزازات والأمواج (جامعة إم آي تي) - المحاضرة 10: مراجعة قبل الامتحان الأول

MIT المحاضرة العاشرة من مساق "الاهتزازات والأمواج" من جامعة إم آي تي للبروفيسور والتر لوين وهي مراجعة قبل الامتحان الأول بالإضافة للفيديو هناك ملفات مرفقة على موقعنا الالكتروني https://shamsunalarabia.net/courses/الاهتزازات-والأمواج/ رابط المساق https://www.youtube.com/watch?v=FfdJewVimWs

From playlist 8.03 Arabic Subtitles

Video thumbnail

8.03 - Lect 10 - First Exam Review, Breaking Wine Glass with Sound

Exam Review Exam (1): http://freepdfhosting.com/78fa6ddbfd.pdf Formula (1): http://freepdfhosting.com/2a7581df72.pdf Solutions (1): http://freepdfhosting.com/0e1fce7f35.pdf

From playlist 8.03 - MIT Physics III: Vibrations and Waves

Video thumbnail

PHYS 146 Oscillations Part 7: Driven Oscillators

Video lecture for PHYS 146 at the University of Alberta. In this video we solve for the situation where a periodic force is applied to a damped, harmonic oscillator. The resulting equation of motion is solved to determine the amplitude and phase of the oscillator's displacement.

From playlist UAlberta: PHYS 146 - Fluids and Waves with Roger Moore | CosmoLearning.org Physics

Video thumbnail

François Golse: Linear Boltzmann equation and fractional diffusion

Abstract: (Work in collaboration with C. Bardos and I. Moyano). Consider the linear Boltzmann equation of radiative transfer in a half-space, with constant scattering coefficient σ. Assume that, on the boundary of the half-space, the radiation intensity satisfies the Lambert (i.e. diffuse)

From playlist Partial Differential Equations

Video thumbnail

Resonance | Lecture 24 | Differential Equations for Engineers

How to understand the phenomena of resonance from solving a differential equation. Join me on Coursera: https://www.coursera.org/learn/differential-equations-engineers Lecture notes at http://www.math.ust.hk/~machas/differential-equations-for-engineers.pdf Subscribe to my channel: http

From playlist Differential Equations for Engineers

Video thumbnail

spring systems -- differential equations 15

⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn 🟢 Discord: https://discord.gg/Ta6PTGtKBm ⭐my other channels⭐ Main Channel: https://www.youtube.

From playlist Differential Equations

Video thumbnail

Solve an exponential equation using one to one property and isolating the exponent

👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both sides. Note that the base of the log should correspo

From playlist Solve Exponential Equations with Logarithms

Video thumbnail

Nondimensionalization | Appendix B | Differential Equations for Engineers

How to nondimensionalize a physical equation. Join me on Coursera: https://www.coursera.org/learn/differential-equations-engineers Lecture notes at http://www.math.ust.hk/~machas/differential-equations-for-engineers.pdf Subscribe to my channel: http://www.youtube.com/user/jchasnov?sub_c

From playlist Differential Equations for Engineers

Video thumbnail

Determine if Equations Are Linear or Exponential and Increasing or Decreasing

This video explains how to identify linear and exponential equation as well as determine if the behavior is increasing or decreasing. http://mathispower4u.com

From playlist Introduction to Exponential Functions

Video thumbnail

Mod-05 Lec-36 Waveguides

Electromagnetic Theory by Prof. D.K. Ghosh,Department of Physics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Bombay: Electromagnetic Theory

Related pages

Jacobian matrix and determinant | Divergence | Adiabatic process | Material derivative | Partial differential equation | Del | Continuity equation | Primitive equations | Advection