The applications that can be modeled by the systems of ordinary differential equation.

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Answer 1

Question

Chapter 4, Problem 1RQ

To determine

To write: The applications that can be modeled by the systems of ordinary differential equation.

Expert Solution & Answer

Explanation of Solution

The systems of ordinary differential equation have different applications that are mentioned below.

The mixing problems involving a single tank or more than one tanks are modeled by system of ordinary differential equations.

The problems involving electrical networks like finding currents as well as the problems involving finding the mass of a spring are some of the applications that can be modeled by the system of ordinary differential equations.

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| Without evaluating the Legendre symbols, prove the following. (i) 1(173)+2(2|73)+3(3|73) +...+72(72|73) = 0. (Hint: As r runs through the numbers 1,2,. (ii) 1²(1|71)+2²(2|71) +3²(3|71) +...+70² (70|71) = 71{1(1|71) + 2(2|71) ++70(70|71)}. 72, so does 73 – r.)

By considering the number N = 16p²/p... p² - 2, where P1, P2, … … … ‚ Pn are primes, prove that there are infinitely many primes of the form 8k - 1.

Answer 2

Question

Chapter 4, Problem 1RQ

To determine

To write: The applications that can be modeled by the systems of ordinary differential equation.

Expert Solution & Answer

Explanation of Solution

The systems of ordinary differential equation have different applications that are mentioned below.

The mixing problems involving a single tank or more than one tanks are modeled by system of ordinary differential equations.

The problems involving electrical networks like finding currents as well as the problems involving finding the mass of a spring are some of the applications that can be modeled by the system of ordinary differential equations.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 3

Question

Chapter 4, Problem 1RQ

To determine

To write: The applications that can be modeled by the systems of ordinary differential equation.

Expert Solution & Answer

Explanation of Solution

The systems of ordinary differential equation have different applications that are mentioned below.

The mixing problems involving a single tank or more than one tanks are modeled by system of ordinary differential equations.

The problems involving electrical networks like finding currents as well as the problems involving finding the mass of a spring are some of the applications that can be modeled by the system of ordinary differential equations.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

Chapter 4, Problem 1RQ

To determine

To write: The applications that can be modeled by the systems of ordinary differential equation.

Expert Solution & Answer

Explanation of Solution

The systems of ordinary differential equation have different applications that are mentioned below.

The mixing problems involving a single tank or more than one tanks are modeled by system of ordinary differential equations.

The problems involving electrical networks like finding currents as well as the problems involving finding the mass of a spring are some of the applications that can be modeled by the system of ordinary differential equations.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

Chapter 4, Problem 1RQ

To determine

To write: The applications that can be modeled by the systems of ordinary differential equation.

Expert Solution & Answer

Explanation of Solution

The systems of ordinary differential equation have different applications that are mentioned below.

The mixing problems involving a single tank or more than one tanks are modeled by system of ordinary differential equations.

The problems involving electrical networks like finding currents as well as the problems involving finding the mass of a spring are some of the applications that can be modeled by the system of ordinary differential equations.

Answer 6

Chapter 4, Problem 1RQ

To determine

To write: The applications that can be modeled by the systems of ordinary differential equation.

Expert Solution & Answer

Explanation of Solution

The systems of ordinary differential equation have different applications that are mentioned below.

The mixing problems involving a single tank or more than one tanks are modeled by system of ordinary differential equations.

The problems involving electrical networks like finding currents as well as the problems involving finding the mass of a spring are some of the applications that can be modeled by the system of ordinary differential equations.

Answer 7

Chapter 4, Problem 1RQ

To determine

To write: The applications that can be modeled by the systems of ordinary differential equation.

Answer 8

Expert Solution & Answer

Explanation of Solution

The systems of ordinary differential equation have different applications that are mentioned below.

The mixing problems involving a single tank or more than one tanks are modeled by system of ordinary differential equations.

The problems involving electrical networks like finding currents as well as the problems involving finding the mass of a spring are some of the applications that can be modeled by the system of ordinary differential equations.