3Blue1Brown
Solving the heat equation: Differential Equations - Part 3 of 5
Solving the heat equation.
3Blue1Brown
The Brachistochrone, with Steven Strogatz: Brachistochrone - Part 1 of 2
A classic problem that Johann Bernoulli posed to famous mathematicians of his time, such as Newton, and how Bernoulli found an incredibly clever solution using properties of light.
3Blue1Brown
The Brachistochrone, with Steven Strogatz
A classic problem that Johann Bernoulli posed to famous mathematicians of his time, such as Newton, and how Bernoulli found an incredibly clever solution using properties of light.
3Blue1Brown
Differential equations, studying the unsolvable | DE1
What is a differential equation, the pendulum equation, and some basic numerical methods
3Blue1Brown
Differential equations, studying the unsolvable: Differential Equations - Part 1 of 5
What is a differential equation, the pendulum equation, and some basic numerical methods
3Blue1Brown
But what is a partial differential equation? Differential Equations - Part 2 of 5
The heat equation, as an introductory PDE.
Flipping Physics
Charge and Current vs. Time in an RC Circuit
Explore the dynamics of RC circuits in this informative lesson. Unveil the charge and current as functions of time within an RC circuit. We dive into the Kirchhoff’s Loop Rule and differential equations to derive key insights. Witness...
Curated Video
How Do Physics-Informed Neural Networks Work?
Can physics help up develop better neural networks?
Virtually Passed
5.0 A better way to understand Differential Equations | Nonlinear Dynamics | Bendixson's Criterion
Bendixson's criterion is another method used to disprove the existence of closed orbits. A periodic solution is a type of closed orbit. This theorem only holds for simply connected regions in 2D. The statement is that if on a simply...
Virtually Passed
3.0 A better way to understand Differential Equations | Nonlinear Dynamics | Linearization
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...
Virtually Passed
1.0 A better way to understand Differential Equations | Nonlinear Dynamics | 1D Linear Diff Eqns
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...
Virtually Passed
3.1 Linearization PROOF | Nonlinear Dynamics
Nonlinear Dynamics mini-series Part 1: • 1.0 A better way ... Part 2: • 2.0 A better way ... Part 3: • 3.0 A better way ... This video shows a formal proof behind linearization for 2D flows: dx/dt = f(x,y) dy/dt = g(x,y) Step 1: Find...
Virtually Passed
1.1 Stability of Fixed Points PROOF | Nonlinear Dynamics
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...
Zach Star
The applications of hyperbolic trig | Why do we even care about these things?
The applications of hyperbolic trig | Why do we even care about these things?
Flipping Physics
Electricity and Magnetism #2 Free Response Question Solutions - AP Physics C 1998 Released Exam
This Free Response Question includes the following concepts: Circuit Diagram, Voltmeter, Resistance, Capacitance, Inductance, Potential Difference, Charge, and Electric Potential Energy
Brian McLogan
Solve differentiable equations with In
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Catalyst University
Separable Differential Equations for P-CHEM
Separable Differential Equations for P-CHEM
Brian McLogan
Particular solution of differential equations
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution...
Math Fortress
Differential Equations: Families of 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 general solutions of ordinary differential equations.
Brian McLogan
How to sketch the particular equation from the slope field
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...
Brian McLogan
Sketch the slope field of the differential equation
I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips.
Brian McLogan
How to sketch the slope field
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...
Math Fortress
Differential Equations: Families of Solutions (Level 4 of 4)
This video introduces the basic concepts associated with solutions of ordinary differential equations. This video goes over an example illustrating how to verify a particular solution of the one-parameter family of solutions,...
APMonitor
Solve Differential Equations in MATLAB and Simulink
This introduction to MATLAB and Simulink ODE solvers demonstrates how to set up and solve either one or multiple differential equations. The equations can be linear or nonlinear.