In this video we solve two systems of nonlinear equations. The first has an absolute value function and a circle (and we solve by graphing). The second has a linear function and a quadratic.

MATLAB solves nonlinear equations either symbolically or numerically with solvers such as "fsolve". This example demonstrates how to obtain a solution to sets of nonlinear equations.

In this video, students learn how to predict possible collisions by writing and solving a system of nonlinear equations using graphs of quadratic equations. The lesson covers the basics of quadratic equations, including circles,...

This tutorial demonstrates how to set up and solve a set of nonlinear equations in Python using the SciPy Optimize package.

Microsoft Excel is used to solve a set of nonlinear equations with the Excel solver add-in.

In this video, the teacher explains how to determine whether an equation is linear or nonlinear by identifying the exponent of the variable. The teacher provides five equations and asks the viewer to determine which ones are linear and...

This tutorial is an introduction to solving nonlinear equations with Python. The solution to linear equations is through matrix operations while sets of nonlinear equations require a solver such as Scipy optimize fsolve to numerically...

The GRG (Generalized Reduced Gradient) solver in Excel can be used to solve sets of nonlinear equations. The nonlinear functions are input as cells and equation residuals are minimized. Functions can either be included as equality...

Index theory is a method used to gain global information about a nonlinear differential equation. One powerful insight is that closed orbits (periodic solutions) must have at least one fixed point inside of the curve. In fact, for a...

Index theory is a method used to gain global information about a nonlinear differential equation. One powerful insight is that closed orbits (periodic solutions) must have at least one fixed point inside of the curve. In fact, for a...

In this video, the teacher focuses on teaching students how to identify linear and nonlinear functions from tables, equations, and graphs. The teacher explains the characteristics of linear and nonlinear functions and provides examples...

In this video, we use our background of solving linear systems to solve a nonlinear system.

In this video math lesson we will learn how to classify graphs and equations as linear or nonlinear functions. We will define a linear function as a relationship between two quantities with a constant rate of change. The graph of a...

In this video lesson, we will learn how to determine if a graph, table of values, or an equation represents a linear or nonlinear function. We will look at a graph for a nonvertical line to determine it is linear. We will look for a...

In this lesson, students are introduced to the concept of linear functions, which create straight lines, and nonlinear functions, which do not. The lesson covers different ways to write linear equations, such as the slope-intercept form...

We've covered the basics regarding second-order differential equations and their solutions, for both linear homogenous and nonhomogenous differential equations. Now let's look at some special second-order types, such as Cauchy-Euler, and...

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...

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...

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...

This step-by-step tutorial demonstrates fmincon solver on a nonlinear optimization problem with one equality and one inequality constraint. Visit http://apmonitor.com/che263/index.php/Main/MatlabOptimization for source code.

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...

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...

Solution of variables within nonlinear expressions can either be difficult or impossible with analytic or symbolic techniques. When a numerical solution is required, a nonlinear solution technique can be used within Mathcad with either a...

These second-order linear differential equations can be written in the form dx/dt = ax + by dy/dt = cx + dy Depending on the values of a,b,c and d, the dynamics will be very different! They can be characterized by finding the eigenvalues...