## Question:

Find out more about differential equations, and how they are important in engineering.

Use examples to demonstrate the utility of differential equations for engineering.

To find your information, use at least 3 sources:

Demonstrate how to use different reading techniques to investigate the question such as skimming, scanning and reviewing.

A grid similar to this one could be created for each source required for this assignment.

Answers to the questions that you were searching

What were you able to skim? How did it impact your decision about whether or not it was important?

Why and what purpose did you scan?

Explain the effect and purpose of implied meanings in a variety of written texts.

## Answer:

Task 1

Source 1

References and source title

Stochastic differential equations & diffusion processes

N. Ikeda and S. Watanabe. 2014.

Stochastic differential equations, diffusion processes (Vol.

Answers to the questions that you were searching

The paper answers the question “What is a measureable space?”

What is Borel Set?

How did it impact your decision to skim?

The book can be found online. It provides mathematical discussions on the topic of concern.

Why and what purpose did you scan?

The scanning was done to determine the terms that relate to the topological area. However, the main answer to this question lay in the discussions about the topological.

You must include the key points of the source.

The following were the main points from the source:

* Basic notations & notations

* Probability measures for a metric area

* Continuous stochastic processes

Summarize the sections of the source that are relevant to your question/s.

This section discusses measureable space as well as topological spaces.

If the topological space contains S, the theta-field is the smallest area.

Borel set is the topological Theta field. It also includes an element from the B set.

Source 2

Source title and references

Oscillation theory to solve functional differential equations

Oscillation theory in functional differential equations.

Answers to the questions that you were searching

The discussion required the following questions:

* “What is the oscillating condition that all solutions must meet?

* What conditions are necessary for the existence of an oscillatory solution?

* What are the conditions that exist for an oscillatory solution to this problem?

* What are the conditions that prevent the existence of oscillatory solutions?

* Calculating the distance between two zeros of oscillatory solution;

* What is an asymptotic class of no oscillatory solution and what are the conditions that allow for solutions with designated asymptotic property?

What were you able to skim? How did it impact your decision about whether or not it was important?

The Books on Oscillation Theory were viewed online and the books by Erbe Konhg and Zang (2017, respectively) were found.

Why and what purpose did you scan?

The scanning was performed for the application differential equation on oscillatory solution.

Recall the main points of the source

The following are key points of the source, which is used in the discussion:

* First Order Delay Differential Equiations Oscillations

* Higher Order Neutral Differential Equival Equations Oscillation

* No oscillation and oscillation of the Second Order

* First Order Neutral Differential Equival Equations Oscillation

* Deviating Arguments in Differential Equations

Summarize the sections of the source that are relevant to your question/s.

For this discussion, there are many models of functional differential equations.

For the discussion of the above questions, the oscillatory theory functional differential equations has been used in this paper.

Source 3

Source title and references

Numerical methods to solve ordinary differential equations

The numerical method for ordinary differential equations.

John Wiley & Sons.

Answers to the questions that you were searching

The discussion will focus on the use of the numerical method to solve differential equations.

What were you able to skim? How did it impact your decision about whether or not it was important?

After thorough research in the numerical methods, the book has been chosen.

Why and what purpose did you scan?

These are the available numerical methods to solve differential equations.

Extract the key points from the source

These are the main points of the source:

* Conservation and maintenance of the Hamiltonian angular momentum

* Invariance for orthogonal transforms

Summarize the sections of the source that are relevant to your question/s.

A special emphasis has been placed on the use of numerical methods to derivate the first order function.

Task 2

Hint: It’s a suggestion or small piece that will help you solve your problem.

Example: Let’s say that the passwords contain letters which are used as a hint to give users an option.

Suggestion : This is advice that can be used to find solutions for problems.

Example: Although there are suggestions for the method to be used, the final solution may not be known.

Connotation: This is an idea that assists in invoking people in addition to what the word means.

It removes the meanings of terms and determines the principle that applies to them.

Even is denoted by 2n, where number is integer.

Even (if),: smoothen or flaten, or for displaying extreme degrees

Series: infinite sequence sum

Series: Set of related television programs

Allusion: This is an expression used to call functions that can be used explicatively in a reference.

Example: A Biblical allusion to your backyard as a Garden of Eden.

Inference: The result of a discussion.

Example: The mathematical terms are used to discuss logical interferences.

Assumption – These are scenarios that can be conceived hypothetically.

Example: Theorems use variable assumptions such x, and assume a value of x like x = A + B.

Irony: A meaning that uses languages for opposing the real meaning to make a humorous effect is called irony.

Example: This is an example of someone saying something to another person, but they don’t actually mean it.

Sarcasm is a form of mocking.

Example: Sarcasm and irony are not arguments.

Metaphor symbolic: It’s a symbol that can be used to signify an event.

Black is used as an example to signify evil or death.

Numeric Coding: This is the way that numbers are represented in computer circuits by using an electrical signal.

References

The numerical method for ordinary differential equations.

John Wiley & Sons.

Oscillation theory in functional differential equations.

N. Ikeda, and S. Watanabe. 2014.

Stochastic differential equations, diffusion processes (Vol.