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13 Nov 2019
1 of 4 MATH 282 MATLAB Assignment 2 Instructions: Complete each problem using MATLAB to help you. You may need to do part of a problem by hand and part using MATLAB. Any additional instructions for a problem will be listed below it Hand In: Unless otherwise specified below, you should hand in your work for each problem including Any parts of the problem you have done by hand. (These parts should still be typed!) Any MATLAB commands/results that you used to help you solve the problem (you can copy and paste commands/results in MATLAB from the command prompt into a Word document). Please delete any MATLAB errors (reported in red by MATLAB) from your commands/results in the Word document. Any MATLAB plots created in the problem. (You can also copy and paste MATLAB plots into a Word document.) Follow the instructions on the "MATLAB Assignment 2 Guidelines" document! 1. Solve the following DE: 6.11 y," + 8.59y" + 793y' + 0788y 0 a. By hand, write the auxiliary equation for this DE b. Using MATLAB, find the roots of the auxiliary equation you found in part a). c. By hand, write the general solution of this DE using your answer from part b). (Round to three decimal places where necessary.) 2. Consider the following IVP: y" + yy' = 0, y(0) = 1, y'(0) =-1 a. Use the dsolve command in MATLAB to find an explicit solution of the VP. b. Using MATLAB, plot your solution from part a) over-S S S S c. Give an interval of definition for your solution from part a).
1 of 4 MATH 282 MATLAB Assignment 2 Instructions: Complete each problem using MATLAB to help you. You may need to do part of a problem by hand and part using MATLAB. Any additional instructions for a problem will be listed below it Hand In: Unless otherwise specified below, you should hand in your work for each problem including Any parts of the problem you have done by hand. (These parts should still be typed!) Any MATLAB commands/results that you used to help you solve the problem (you can copy and paste commands/results in MATLAB from the command prompt into a Word document). Please delete any MATLAB errors (reported in red by MATLAB) from your commands/results in the Word document. Any MATLAB plots created in the problem. (You can also copy and paste MATLAB plots into a Word document.) Follow the instructions on the "MATLAB Assignment 2 Guidelines" document! 1. Solve the following DE: 6.11 y," + 8.59y" + 793y' + 0788y 0 a. By hand, write the auxiliary equation for this DE b. Using MATLAB, find the roots of the auxiliary equation you found in part a). c. By hand, write the general solution of this DE using your answer from part b). (Round to three decimal places where necessary.) 2. Consider the following IVP: y" + yy' = 0, y(0) = 1, y'(0) =-1 a. Use the dsolve command in MATLAB to find an explicit solution of the VP. b. Using MATLAB, plot your solution from part a) over-S S S S c. Give an interval of definition for your solution from part a).
Trinidad TremblayLv2
22 Oct 2019