Download e-book for iPad: Differential and Difference Equations through Computer by Hüseyin Kocak

By Hüseyin Kocak

Phaser is a cosmopolitan application for IBM own com- puters, built atBrown collage via the writer and a few of his scholars, which allows usersto scan with differential and distinction equations and dynamical platforms in an interactive setting utilizing pics. This e-book starts with a short dialogue of the geometric inter- pretation of differential equations and numerical equipment, and proceeds to steer the coed by using this system. To run Phaser, you would like an IBM workstation, XT, AT, or PS/2 with an IBM colour images Board (CGB), better images Adapter (VGA). A math coprocessor is supported; notwithstanding, one isn't required for Phaser to run at the above hardware.

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Additional info for Differential and Difference Equations through Computer Experiments: With Diskettes Containing PHASER: An Animator/Simulator for Dynamical Systems for IBM Personal Computers

Sample text

The second line of the Set up view will be updated to show the new value. To stop changing parameters and return to the NUMERICS menu. Clear: To remove the contents of the PhasePort view. 8. In preparation for the next lesson, you should either change all things to their default values, or exit PRASER and reenter. Lessons with PHASER Co Cl ...... DiMension Algo,,1 th.. PHA~E )C 55 i; ~~ POIlT: .. nel Inl tConeis III neloSiu snur: Ju .... ~2d. BB8 el: I I . _ TI_ ct ... t : 1 1 . : Ju ... 1 3. 1_l1li P ....

Viewing Area: The portion of the screen containing the two large rectangles on the right is the viewing area. 2, there are two views: the top one is the "Phase portrait" view in which solution curves will be displayed, and the bottom view is "Set up," which contains the current values of computational choices. In addition to "Phase portrait" and "Set up," there are many other views that can be put into the viewing area. We will see how to do this shortly. 2, and decipher the information displayed in the two large rectangular views.

Notice that that you do not have to press Go. The bar will be rescaled according to the new End time. Clear: The circle will be removed. Time: To change the current start and end times. 0). 0. Notice that the Set up view is updated to display the new times. At this point you can either continue to the next lesson, or exit PRASER by executing the following two commands: Quit. Yesl n x 30 c t 15 q y 47 Lessons with PHASER Lesson 3. Direction field. In this lesson, we will see the third main menu, the UTILITIES menu, and draw the direction field of a linear harmonic oscillator.

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