A 9th order, linear, homogeneous, constant coefficient differential equation has a characteristic equation which factors as follows. (r² + 6r+18)²r²(r + 3)³ = 0 Write the nine fundamental solutions to the differential equation as functions of the variable t. Y1 Y4= Y7 = Y2 = Y5 = Y8 = Y3 Y6 Y9 = = = (You can enter your answers in any order.)

A 9th order, linear, homogeneous, constant coefficient differential equation has a characteristic equation which factors as follows. (r² + 6r+18)²r²(r + 3)³ = 0 Write the nine fundamental solutions to the differential equation as functions of the variable t. Y1 Y4= Y7 = Y2 = Y5 = Y8 = Y3 Y6 Y9 = = = (You can enter your answers in any order.)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 21E

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Dogs Human Age From the data printed in the following table from the Minneapolis Star Tribune on September 20, 1998, a dogs age when compared to a humans age can be modeled using either a linear formula or a quadratic formula as follows: y1=4.13x+14.63 y2=-0.033x2+4.647x+13.347, where y1 and y2 represent a dogs human age for each formula and x represents the dogs actual age. Source: Mathematics Teacher. Dog Age Human Age 1 16 2 24 3 28 5 36 7 44 9 52 11 60 13 68 15 76 a. Find y1 and y2 when x=5. b. Find dy1/dx and dy2/dx when x=5 and interpret your answers. c. If the first two points are eliminated from the table, find the equation of a line that perfectly fits the reduced set of data. Interpret your findings. d. Of the three formulas, which do you prefer?

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