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.
msvgo
Solving Homogeneous Differential Equations
It defines homogeneous differential equation and explains method to solve it.
Math Fortress
Differential Equations: Definitions and Terminology (Level 3 of 4)
This video introduces the basic definitions and terminology of differential equations. This video goes over 6 examples covering how to classify ordinary differential equations by order and linearity.
Math Fortress
Differential Equations: Solutions (Level 1 of 4)
This video introduces the basic concepts associated with solutions of ordinary differential equations. Topics covered include: Solution to an ODE, Interval of definition, and solution curves.
Virtually Passed
A better way to understand Differential Equations | Nonlinear Dynamics (Part 3)
These second-order nonlinear differential equations can be written in the form: dx/dt = f(x,y) dy/dt = g(x,y) Got a nonlinear differential equation? No problem, just linearize it! This method approximates the vector field as a linear...
Math Fortress
Differential Equations: Families of Solutions (Level 1 of 4)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over families of solutions. In addition, particular solutions, general solutions, singular solutions, and...
APMonitor
Euler's Method for ODEs in Excel
Euler's method can be used to simulate and optimize differential equations in Excel. This tutorial demonstrates the steps to set up the simulation and then match the response to data.
Catalyst University
Instrumental Analysis: Measuring Instantaneous Current in RC Circuit
Instrumental Analysis: Measuring Instantaneous Current in RC Circuit
Primer
How Life Grows Exponentially
Using simulations to see that populations of replicators grow exponentially.
Virtually Passed
Linearization PROOF | Nonlinear Dynamics (Part 3 extra)
This video shows a formal proof behind linearization for 2D flows: dx/dt = f(x,y) dy/dt = g(x,y) Step 1: Find fixed points. This involves solving for where dx/dt and dy/dt both are equal to 0. Step 2: Approximate f(x,y) and g(x,y) as...
Virtually Passed
A better way to understand Differential Equations | Nonlinear Dynamics (Part 1)
Here we show another way to graphically interpret first order ordinary differential equations (ODE's) in the form dx/dt = f(x). Rather than solve the differential equation by integrating, which is often impractical, it's useful to graph...
Math Fortress
Differential Equations: Systems of Differential Equations
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video covers the basics of systems of ordinary differential equations. This video also goes over two examples illustrating how to...
Zach Star
This is why you're learning differential equations
This is why you're learning differential equations
Bloomberg
Herd Immunity Can Cost 3 Million U.S. Lives: Professor Murphy
Oct.20 -- “To use herd immunity as a goal without a vaccine is almost criminally insane,” says Northwestern University Professor Dr. Robert Murphy as he examines the coronavirus pandemic in the U.S. Midwest and the health factors...
Khan Academy
Khan Academy: Differential Equations: What Is a Diferential Equation
Video gives an introduction to what differential equations are and shows how they are different from regular equations. Shows an example of a differential equation and how to check if a given answer is a correct solution to a...
Khan Academy
Khan Academy: Calculus: Simple Differential Equations
Video lesson introducing differential equations. Finds the particular solution to three simple differential equations. [14:25]