Program Description: Purpose of problem is to write the system of differential equations in the form x ′ = P ( t ) x + f ( t ) . Summary introduction: Problem will use the non-homogeneous solution for the differential equations x ′ = 2 x − 3 y , y ′ = x + y + 2 z and z ′ = 5 y − 7 z .

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Answer 1

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Chapter 5.1, Problem 16P

Program Plan Intro

Program Description: Purpose of problem is to write the system of differential equations in the form x′=P(t)x+f(t) .

Summary introduction: Problem will use the non-homogeneous solution for the differential equations x′=2x−3y,y′=x+y+2z and z′=5y−7z .

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Suppose that a parachutist with linear drag (m=50 kg, c=12.5kg/s) jumps from an airplane flying at an altitude of a kilometer with a horizontal velocity of 220 m/s relative to the ground. a) Write a system of four differential equations for x,y,vx=dx/dt and vy=dy/dt. b) If theinitial horizontal position is defined as x=0, use Euler’s methods with t=0.4 s to compute the jumper’s position over the first 40 s. c) Develop plots of y versus t and y versus x. Use the plot to graphically estimate when and where the jumper would hit the ground if the chute failed to open.

The displacement of an oscillating spring can be described by x = A cos(wt) where x = displacement at time t, A = maximum displacement, w = angular frequency, which depends on the spring constant and the mass attached to the spring, and t = time. Find the displacement, x, with maximum displacement A of 4 cm, for times from 0 to 120 seconds with increments of 30 seconds, and angular frequencies from 0.4 to 0.6 radians/sec, with increments of 0.1 radians/sec. The displacement for all combinations of times and angular frequencies needs to be calculated. Use meshgrid. Display your results in a matrix with angular frequencies along the top row and times along the left column like so (you may put zero, 0, or NaN, in the upper left corner:

An aluminum wire having a cross-sectional area equal to 4.60 x 10-6 m? carries a current of 7.50 A. The density of aluminum is 2.70 g/cm³. Assume each aluminum atom supplies one conduction electron per atom. Find the drift speed of the electrons in the wire. 1.95E-4 The equation for the drift velocity includes the number of charge carriers per volume, which in this case is equal to the number of atoms per volume. How do you calculate that if you know the density and the atomic weight of aluminum? mm/s

Answer 2

Question

Chapter 5.1, Problem 16P

Program Plan Intro

Program Description: Purpose of problem is to write the system of differential equations in the form x′=P(t)x+f(t) .

Summary introduction: Problem will use the non-homogeneous solution for the differential equations x′=2x−3y,y′=x+y+2z and z′=5y−7z .

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 5.1, Problem 16P

Program Plan Intro

Program Description: Purpose of problem is to write the system of differential equations in the form x′=P(t)x+f(t) .

Summary introduction: Problem will use the non-homogeneous solution for the differential equations x′=2x−3y,y′=x+y+2z and z′=5y−7z .

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 5.1, Problem 16P

Program Plan Intro

Program Description: Purpose of problem is to write the system of differential equations in the form x′=P(t)x+f(t) .

Summary introduction: Problem will use the non-homogeneous solution for the differential equations x′=2x−3y,y′=x+y+2z and z′=5y−7z .

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 5

Chapter 5.1, Problem 16P

Program Plan Intro

Program Description: Purpose of problem is to write the system of differential equations in the form x′=P(t)x+f(t) .

Summary introduction: Problem will use the non-homogeneous solution for the differential equations x′=2x−3y,y′=x+y+2z and z′=5y−7z .

Answer 6

Chapter 5.1, Problem 16P

Program Plan Intro

Program Description: Purpose of problem is to write the system of differential equations in the form x′=P(t)x+f(t) .

Summary introduction: Problem will use the non-homogeneous solution for the differential equations x′=2x−3y,y′=x+y+2z and z′=5y−7z .

Answer 7

Chapter 5.1, Problem 16P

Program Plan Intro

Program Description: Purpose of problem is to write the system of differential equations in the form x′=P(t)x+f(t) .

Summary introduction: Problem will use the non-homogeneous solution for the differential equations x′=2x−3y,y′=x+y+2z and z′=5y−7z .

Answer 8

Expert Solution & Answer

Answer 9

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Answer 10

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Answer 11

Ch. 5.1 - Let A=[2347] and B=[3451]. Find (a) 2A+3B; (b)...Ch. 5.1 - Prob. 2P Ch. 5.1 - Find AB and BA given A=[203415] and B=[137032].Ch. 5.1 - Prob. 4P Ch. 5.1 - Prob. 5P Ch. 5.1 - Prob. 6P Ch. 5.1 - Prob. 7P Ch. 5.1 - Prob. 8P Ch. 5.1 - Prob. 9P Ch. 5.1 - Prob. 10P

Program Description: Purpose of problem is to write the system of differential equations in the form x ′ = P ( t ) x + f ( t ) . Summary introduction: Problem will use the non-homogeneous solution for the differential equations x ′ = 2 x − 3 y , y ′ = x + y + 2 z and z ′ = 5 y − 7 z .

Solution Summary: The author explains that the problem is to write the system of differential equations in the form of non-homogeneous solution.

Concept explainers

Program Description: Purpose of problem is to write the system of differential equations in the form x′=P(t)x+f(t) .

Summary introduction: Problem will use the non-homogeneous solution for the differential equations x′=2x−3y,y′=x+y+2z and z′=5y−7z .

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Chapter 5 Solutions

Program Description: Purpose of problem is to write the system of differential equations in the form x ′ = P ( t ) x + f ( t ) . Summary introduction: Problem will use the non-homogeneous solution for the differential equations x ′ = 2 x − 3 y , y ′ = x + y + 2 z and z ′ = 5 y − 7 z .

Solution Summary: The author explains that the problem is to write the system of differential equations in the form of non-homogeneous solution.

Concept explainers

Program Description: Purpose of problem is to write the system of differential equations in the form x′=P(t)x+f(t) . Summary introduction: Problem will use the non-homogeneous solution for the differential equations x′=2x−3y,y′=x+y+2z and z′=5y−7z .

Want to see the full answer?

Chapter 5 Solutions

Program Description: Purpose of problem is to write the system of differential equations in the form x′=P(t)x+f(t) .

Summary introduction: Problem will use the non-homogeneous solution for the differential equations x′=2x−3y,y′=x+y+2z and z′=5y−7z .