Program Description: Purpose of the problem is to obtain downward position function y ( t ) = y 0 − 1 ρ ln | cosh ( C 2 − t ρ g ) cosh C 2 | from velocity function v ( t ) = g ρ tanh ( C 2 − t ρ g ) where C 2 = tanh − 1 ( v 0 ρ g ) and y ( 0 ) = y 0

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Answer 1

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Chapter 2.3, Problem 16P

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Program Description: Purpose of the problem is to obtain downward position function y(t)=y0−1ρln|cosh( C 2−t ρg)coshC2| from velocity function v(t)=gρtanh(C2−tρg) where C2=tanh−1(v0ρg) and y(0)=y0

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find the general solution to the following differential equation by using VARIATION OF PARAMETER method. y''+4y'+5y=e-2xsecx

Answer 2

Question

Chapter 2.3, Problem 16P

Program Plan Intro

Program Description: Purpose of the problem is to obtain downward position function y(t)=y0−1ρln|cosh( C 2−t ρg)coshC2| from velocity function v(t)=gρtanh(C2−tρg) where C2=tanh−1(v0ρg) and y(0)=y0

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Answer 3

Question

Chapter 2.3, Problem 16P

Program Plan Intro

Program Description: Purpose of the problem is to obtain downward position function y(t)=y0−1ρln|cosh( C 2−t ρg)coshC2| from velocity function v(t)=gρtanh(C2−tρg) where C2=tanh−1(v0ρg) and y(0)=y0

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Answer 4

Question

Chapter 2.3, Problem 16P

Program Plan Intro

Program Description: Purpose of the problem is to obtain downward position function y(t)=y0−1ρln|cosh( C 2−t ρg)coshC2| from velocity function v(t)=gρtanh(C2−tρg) where C2=tanh−1(v0ρg) and y(0)=y0

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Answer 5

Chapter 2.3, Problem 16P

Program Plan Intro

Program Description: Purpose of the problem is to obtain downward position function y(t)=y0−1ρln|cosh( C 2−t ρg)coshC2| from velocity function v(t)=gρtanh(C2−tρg) where C2=tanh−1(v0ρg) and y(0)=y0

Answer 6

Chapter 2.3, Problem 16P

Program Plan Intro

Program Description: Purpose of the problem is to obtain downward position function y(t)=y0−1ρln|cosh( C 2−t ρg)coshC2| from velocity function v(t)=gρtanh(C2−tρg) where C2=tanh−1(v0ρg) and y(0)=y0

Answer 7

Chapter 2.3, Problem 16P

Program Plan Intro

Program Description: Purpose of the problem is to obtain downward position function y(t)=y0−1ρln|cosh( C 2−t ρg)coshC2| from velocity function v(t)=gρtanh(C2−tρg) where C2=tanh−1(v0ρg) and y(0)=y0

Answer 8

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Answer 11

Ch. 2.1 - Prob. 1P Ch. 2.1 - Prob. 2P Ch. 2.1 - Prob. 3P Ch. 2.1 - Prob. 4P Ch. 2.1 - Prob. 5P Ch. 2.1 - Prob. 6P Ch. 2.1 - Prob. 7P Ch. 2.1 - Prob. 8P Ch. 2.1 - Prob. 9P Ch. 2.1 - Prob. 10P

Program Description: Purpose of the problem is to obtain downward position function y ( t ) = y 0 − 1 ρ ln | cosh ( C 2 − t ρ g ) cosh C 2 | from velocity function v ( t ) = g ρ tanh ( C 2 − t ρ g ) where C 2 = tanh − 1 ( v 0 ρ g ) and y ( 0 ) = y 0

Solution Summary: The author explains that the problem is to obtain downward position function y(t)=y_0-1rho mathrmln

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Program Description: Purpose of the problem is to obtain downward position function y(t)=y0−1ρln|cosh( C 2−t ρg)coshC2| from velocity function v(t)=gρtanh(C2−tρg) where C2=tanh−1(v0ρg) and y(0)=y0

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Chapter 2 Solutions