Please make it a complete and step by step solution so that I can study it. DIFFERENTIAL EQUATION(x - 3y+2)dx+(3x+9y - 12)dy = 0

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Answered: (x- 3y+ 2)dx + (3x+9y –- 12)dy = 0 |

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The United States Postal Service ships a package under large-package rates if the sum of the Tength and the girth of the package is greater than 84 inches and less than or equal to 108 inches. The "length" of the package is considered to be the length of its longest side, and the "girth" of the package is the distance around the package perpendicular to its length. Fran wants to ship packages under the USPS large-package rates. Her package is a rectangular solid (see picture) whose length is 40 inches. What is the largest volume that her package can have?
Akira is running around a circular track. Akira runs counterclockwise. From where he starts, it takes him 22 seconds to reach the easternmost point of the track. It takes him 95 seconds to run one complete lap.Bob starts running at the same time as Akira. Bob starts from the northernmost point and runs clockwise. Bob and Akira pass each other for the first time after 26 seconds. How long does Bob take to run one lap of the track? The answer to this question should be the amount of time in seconds rounded to four decimal places that it takes for Bob to run a complete lap around the circular track.
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You are designing a poster which has a border around the printed portion. The border is 2 inches wide on the left and right sides, and 3 inches wide on the top and bottom. The entire poster will be a total of 300 square inches, including the borders and printed portion combined.

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