Exponentiating matrices, and the kinds of linear differential equations this solves.

Solving the heat equation.

Solving the heat equation.

Problem 2 from the 2011 IMO

Problem 2 from the 2011 IMO

In this video Paul Andersen shows conceptual thinking in a mini-lesson on boundary and initial conditions within systems.

Boundary conditions - the dividing line between system and enviro
nment
Initial condition - the...

Solving differential equations can get pretty tricky, but in this modern age we have some tools that can be very useful. We can use computers to carry out sophisticated numerical methods that can solve any differential equation, no...

Now that we know what differential equations are, we have to learn how to classify them. We have to know whether a DE is ordinary or partial, linear or nonlinear, homogenous or nonhomogenous, autonomous or nonautonomous. We have to be...

This video talks about Java for loop to print the multiplication table - exercise solutions.

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...

Lab 1 Task 2 IV Curves of R and D in LTspice<br/>
Basics of Power Electronics - Walid Issa

👉 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...

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.

What is the equation of motion of a particle that has a drag force acting on it? It's important to note that we've assumed that the drag force is proportional to the velocity at all times. In reality, other factors are involved too...

Concentrations on chemical species from mole balances are solved for 1, 2, and 4 species in Python with the Scipy.Integrate package ODEINT.

Can you change vibration speed? #VeritasiumContest

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...

This video talks about Java for loop to print multiplication table - exercise solutions.
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This clip is from the chapter "Introduction to Java Programming with JShell Using Multiplication Table" of the series "Java...

Loops are important coding constructs that allow you to execute code while some condition is true. Mark demonstrates two common types of loops in this video.

Every program makes decisions. The coding structures used to make decisions are called conditionals. In this video, you'll learn to create simple conditional statements.

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...

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.

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...