Numerical errors in a numerical solution of coupled non-linear ODEs with a linear center

NOTE: This may be more of a "non-linear dynamics" problem than an ODE one. Here goes... I've recently been toying around with this system: x' = y*e^{-(x^2+y^2)} y' = -x*e^{-(x^2+y^2)} // (where "e^" denotes the exponential function) I've noticed strange behavior that I can't seem to explain. I used a progr ...continues

Differential Equation by Separation of Variables

Could someone please help me with the problem and show me ALL the steps. (See attached file for full problem description)

Differential Equation by vseperation of Variables

Could someone please help me with the problem and show me ALL the steps. (See attached file for full problem description)

Differential Equation by Seperation of Variables

Could someone please help me with the problem and show me ALL the steps. (See attached file for full problem description)

Use any method for xy'=2y-3x

2. Use any method for xy'=2y-3x

Solve the Differential Equation

solve the diff eqn 1 ) xy'- y=2x^2

College/ basics, algebra, equations, and Mathematical models

Background Information: A simple pendulum, such as a rock hanging from a piece of string or the inside of a grandfather clock, consists of a mass (the rock) and a support (the piece of string). When the mass is moved a small distance away from its equilibrium point (the bottom of the arc), the mass will swing back and forth ...continues

Problem

Note that you don't need to know anything about partial differential equations to solve this question. (See attached file for full problem description)

Statistical Information

You have been invited to present statistical information at a conference. To prepare, you must perform the following tasks: The following data was retrieved from www.cdc.gov. It represents the number of deaths in the United States due to heart Disease and cancer in each of the years; 1985, 1990, 1995, and 2002. ...continues

Equations

In the real world, what might be a situation where it is preferable for the data to form a relation but not a function? There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points: Fahrenheit Celsius Freezi ...continues