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 in a constant amount of time called the period. One period is the amount of time required for the mass to swing all the way to the other side and then swing back to its staring point. Note: we are making the simplifying assumption that our pendulum is swinging in a perfect vacuum, (i.e., there is no air resistance that will stop the pendulum). The period of a s... click for more

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. Year Disease 1985 1990 1995 2002 Heart Disease 771169 720058 737563 696,947 Cancer 461563 505322 538445 557,271 Plot this data for each disease as points in a rectangular coordinate system. Using a smooth line, connect ... click for more

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 Freezing point of water 32 0 Boiling point of water 212 100 Find the linear equation that expresses temperature in degrees Fahrenheit as a function of temperature in degrees Celsius. Find the linear equation that expresses temperature in degrees Celsius as a function of temperature in degrees Fahrenheit. How do the graphs of these t... click for more