Math Fortress
Differential Equations: Implicit Solutions (Level 3 of 3)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 slightly more challenging examples illustrating how to verify implicit solutions, find explicit solutions, and...
Brian McLogan
Sketch the slope field and sketch the particular equation
Learn how to create slope fields and sketch the particular solution to a differential equation. Slope fields are tools used to graphically obtain the solutions to a differential equation. It is the estimation of the graphical...
Virtually Passed
Steady State and Transient Mechanical Vibrations summary
This is a summary of all the videos we've made so far. Notice that our total response = our steady state (particular solution) + our transient (homogeneous solution). In most Engineering applications we will only focus on the steady...
Math Fortress
Differential Equations: Families of Solutions (Level 3 of 4)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 examples illustrating how to verify Implicit One-Parameter Family of solutions.
Math Fortress
Differential Equations: Solutions (Level 3 of 4)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 3 slightly more challenging examples illustrating how to verify solutions to differential equations. In addition...
APMonitor
Chemical Reaction Differential Equations in Python
Concentrations on chemical species from mole balances are solved for 1, 2, and 4 species in Python with the Scipy.Integrate package ODEINT.
Brian McLogan
Find the general and paticular solution
👉 Learn how to find the particular solution to the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as indefinite integral...
Catalyst University
Phase Diagrams | The Clausius-Clapeyron Equation [Complete Derivation]
In this video, I show the complete derivation of both the Clausius Equation & the related Clausius-Clapeyron Equation.
Virtually Passed
Spring Mass system Proof
A mass that is connected to a spring will undergo simple harmonic motion. This means it's Equation of Motion is x = A sin (w_n t + phi_1) where w_n = (k/m)^1/2 Note that w_n is the frequency of oscillation (rad/s) when there is NO...
Math Fortress
Differential Equations: Definitions and Terminology (Level 2 of 4)
This video introduces the basic definitions and terminology of differential equations. This video goes over 4 basic examples covering how to classify ordinary differential equations by order and linearity.
Math Fortress
Differential Equations: Implicit Solutions (Level 1 of 3)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over implicit solutions of differential equations. The concept of a formal solution is also presented.
Math Fortress
Differential Equations: Implicit Solutions (Level 2 of 3)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 2 examples illustrating how to verify implicit solutions, find explicit solutions, and define appropriate...
Catalyst University
Physical Differentials (1 of 2): Newtonian Transformations
Physical Differentials (1 of 2): Newtonian Transformations
Math Fortress
Differential Equations: Solutions (Level 2 of 4)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over 3 examples illustrating how to verify solutions to differential equations. In addition this video also covers how...
APMonitor
Data Science 🐍 Differential Equations
Specific types of equations with differential terms arise from fundamental relationships such as conservation of mass, energy, and momentum. Dynamic models can either be regressed (identified) from data or developed without data with...
Math Fortress
Differential Equations: Definitions and Terminology (Level 1 of 4)
This video introduces the basic definitions and terminology of differential equations. The topics covered include classification of differential equations by type, order and linearity.
Professor Dave Explains
The Quantum Harmonic Oscillator Part 2: Solving the Schrödinger Equation
We just introduced the classical harmonic oscillator, so now let's look at the quantum version! Obviously this is much trickier, but let's solve the Schrödinger equation and see what the solution tells us about the quantum world.
msvgo
Differential Equations: Variable Separable Form
It discusses and explains the method to solve differential equation of variables separable form.
Flipping Physics
RC Circuits - Review for AP Physics C: Electricity and Magnetism
AP Physics C: Electricity and Magnetism review of RC circuits including: defining RC circuits, charging a capacitor through a resistor, determining the limits for charge and current, deriving charge and current as functions of time,...
msvgo
Formation of a Differential Equation
It explores and generalise the procedure to form a differential equation that will represent a given family of curves.
Virtually Passed
Stability of Fixed Points PROOF | Nonlinear Dynamics (Part 1 extra)
This video deals with nonlinear differential equations in the form: dx/dt = f(x) To find out whether a fixed point is stable or not, a linear stability analysis is done whereby the function is approximated as a line. If the slope of that...
Primer
How Life Grows Exponentially
Using simulations to see that populations of replicators grow exponentially.