LEARN MORE...

Home
Documents
May 2021
30
Math 221e module 2 2nd edition protected

Math 221e module 2 2nd edition protected

Content type

User Generated

Uploaded By

naaurea

Pages

36

Showing Page:

1/36

Sign up to view the full document!

Showing Page:

2/36

Sign up to view the full document!

Showing Page:

3/36

Sign up to view the full document!

End of Preview - Want to read all 36 pages?

Unformatted Attachment Preview

Module 2 1st Order Differential Equation Techniques (Part 1) DIFFERENTIAL EQUATION Engr. Renel M Alucilja, RPABE Engr. Kathleen Mae B. Alucilja, CE Developed by: COLLEGE OF ENGINEERING AND INFORMATION TECHNOLOGY University of Southern Mindanao Kabacan, Cotabatao 2 Math 221: 1st Order Techniques (Part 1) ================================= Module 2. 1st Order Differential Equation Techniques (Part 1) Learning Outcomes: ILO 4 Solve First Ordinary Differential Equation using Separation techniques ILO 5 Solve First Ordinary Differential Equation using Substitution ILO 6 Solve Linear Differential Equation in order 1 Topics 2. Concept of Mathematical Modeling and Differential Equation 1. Separation of Variable 2. Substitution Methods 1. Homogeneous Equations 2. Linear Equation 3. First Order Linear Equation (Lagrange Equation) 2.1 Separable Differential Equation A differential equation in the first order differential equation is said to be a separable equation if first order differential equation in the form of P( x, y) dx+ Q( x, y) dy=0 can be transformed into Mdx +Ndy=0 where M is a function of x alone and N is a function of y alone. In example, evaluate the differential e siny dx+cos y dy =0 if it is separable or not. equation x Evaluating the equation, we can separate the variable x with variable y following the solution shown below. Example 2.1 x e siny dx +cos y dy =0 1 [ e x siny dx+cos y dy ]=0 1 sin y sin y cos y x e dx+ dy=0 sin y e x dx+ cot y dy =0 [ ] ...
Purchase document to see full attachment

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Studypool

4.7

Indeed

4.5

Sitejabber

4.4

24/7 Study Help

Stuck on a study question? Our verified tutors can answer all questions, from basic math to advanced rocket science!

Post question

8 pages

Fruit flies are excellent research subjects due to the ease of culturing them, short generation time, and massive amount o ...

Fruit flies are excellent research subjects due to the ease of culturing them, short generation time, and massive amount of eggs laid in one cycle. ...

Rasmussen College Harmony and Variety Paper

Review the design principles on harmony and variety from lessons within the course and write a one-page essay describing h ...

Rasmussen College Harmony and Variety Paper

Review the design principles on harmony and variety from lessons within the course and write a one-page essay describing how harmony and variety are used in one of the following works of art. Note: You can view any of these works with a search on the title of piece and the artist.Mother and Child 2 by Mary CassattComposition 8 by Wassily Kandinsky Schomburg Library by Jacob LawrenceWithin the essay, be sure to address the following:Include three ways the artist uses harmony.Include three ways the artist uses variety.Incorporate at least three art terms from the Key Terms list that follows in your essay. Key terms: contour line, value, warm colors, cool colors, shape, repetition, pattern, motif, texture, rhythm, composition, unity, primary color, geometric shape, organic shape, dominance, balance, focal point.Use bold type for your chosen terms for easy identification. Submit your completed assignment by following the directions linked below. Please check the Course Calendar for specific due dates.Save your assignment as a Microsoft Word document. (Mac users, please remember to append the ".docx" extension to the filename.) The name of the file should be your first initial and last name, followed by an underscore and the name of the assignment, and an underscore and the date. An example is shown below:

3 pages

Y748 The Starry Night.edited 1.edited

The Starry Night painting by Van Gogh represents a beautiful and happy image of the world due to its timelessness and uniq ...

Y748 The Starry Night.edited 1.edited

The Starry Night painting by Van Gogh represents a beautiful and happy image of the world due to its timelessness and unique representation of the ...

4 pages

Costs Classifications

Costs are defined as resources foregone in the hope of achieving certain objectives. Cost objectives are chosen to facilit ...

Costs Classifications

Costs are defined as resources foregone in the hope of achieving certain objectives. Cost objectives are chosen to facilitate decision making hence ...

8 pages

Training Session for Policy Implementation Discussion

Mercy Medical Center needs to establish new clinical practice guidelines for diabetic care to address variation and drive ...

Training Session for Policy Implementation Discussion

Mercy Medical Center needs to establish new clinical practice guidelines for diabetic care to address variation and drive practice toward efficiency. ...

Blue Ocean Strategy Paper

Write a 700- to 1,050-word paper that describes the importance of blue ocean strategy and identifies a product or ser ...

Blue Ocean Strategy Paper

Write a 700- to 1,050-word paper that describes the importance of blue ocean strategy and identifies a product or service that would be considered a blue ocean move. Include the following:A description of blue ocean strategy and its importanceA product or service that might be considered a blue ocean move and whyAn alternative red ocean move for the same product or service along with the pros and cons of that strategyFormat your paper consistent with APA guidelines

Similar Documents

Describe the effect of higher levels of medical spending, profitability, health and medicine homework help

In 400- 500 words answer the following discussion question. Use three references and in-text citations. Describe the e...

King Abdulaziz University Integration of Resources to Raise Organizational Capabilities Paper

(10 Marks) (500 -750 words) Choose a Saudi company and answer the following question. 1. What are the various resources av...

MSA603 Central Missouri Strategic Planning for the Administrator Project

I'm looking for someone who does not use Chegg or Coursehero or any online cites to provide your answers.The professor che...

ENVS 115 Columbia College Phosphorous on Aquatic Systems Effects Discussion

Historically, detergent companies added water-soluble phosphorous to their products to make your laundry bright. Ba...

History Museum Presentation

Computer Applications for Business – Week 1 Assignment MS Word Flyer Your boss at Gingham Travel has asked you to prepa...

answer this question

Create an "attention grabbing" headline that will draw recruiters to your page. Concise and confident summary section abou...

Cooperative program in engineering

Fordham College at Rose Hill and Fordham College at Lincoln Center offer a ﬁve-year program that combines a broad libera...

Fb img 1667337174549

Study help

Our tutors provide high quality explanations & answers.

Post question

8 pages

Fruit flies are excellent research subjects due to the ease of culturing them, short generation time, and massive amount o ...

Fruit flies are excellent research subjects due to the ease of culturing them, short generation time, and massive amount of eggs laid in one cycle. ...

Rasmussen College Harmony and Variety Paper

Review the design principles on harmony and variety from lessons within the course and write a one-page essay describing h ...

Rasmussen College Harmony and Variety Paper

Review the design principles on harmony and variety from lessons within the course and write a one-page essay describing how harmony and variety are used in one of the following works of art. Note: You can view any of these works with a search on the title of piece and the artist.Mother and Child 2 by Mary CassattComposition 8 by Wassily Kandinsky Schomburg Library by Jacob LawrenceWithin the essay, be sure to address the following:Include three ways the artist uses harmony.Include three ways the artist uses variety.Incorporate at least three art terms from the Key Terms list that follows in your essay. Key terms: contour line, value, warm colors, cool colors, shape, repetition, pattern, motif, texture, rhythm, composition, unity, primary color, geometric shape, organic shape, dominance, balance, focal point.Use bold type for your chosen terms for easy identification. Submit your completed assignment by following the directions linked below. Please check the Course Calendar for specific due dates.Save your assignment as a Microsoft Word document. (Mac users, please remember to append the ".docx" extension to the filename.) The name of the file should be your first initial and last name, followed by an underscore and the name of the assignment, and an underscore and the date. An example is shown below:

3 pages

Y748 The Starry Night.edited 1.edited

The Starry Night painting by Van Gogh represents a beautiful and happy image of the world due to its timelessness and uniq ...

Y748 The Starry Night.edited 1.edited

The Starry Night painting by Van Gogh represents a beautiful and happy image of the world due to its timelessness and unique representation of the ...

4 pages

Costs Classifications

Costs are defined as resources foregone in the hope of achieving certain objectives. Cost objectives are chosen to facilit ...

Costs Classifications

Costs are defined as resources foregone in the hope of achieving certain objectives. Cost objectives are chosen to facilitate decision making hence ...

8 pages

Training Session for Policy Implementation Discussion

Mercy Medical Center needs to establish new clinical practice guidelines for diabetic care to address variation and drive ...

Training Session for Policy Implementation Discussion

Mercy Medical Center needs to establish new clinical practice guidelines for diabetic care to address variation and drive practice toward efficiency. ...

Blue Ocean Strategy Paper

Write a 700- to 1,050-word paper that describes the importance of blue ocean strategy and identifies a product or ser ...

Blue Ocean Strategy Paper

Write a 700- to 1,050-word paper that describes the importance of blue ocean strategy and identifies a product or service that would be considered a blue ocean move. Include the following:A description of blue ocean strategy and its importanceA product or service that might be considered a blue ocean move and whyAn alternative red ocean move for the same product or service along with the pros and cons of that strategyFormat your paper consistent with APA guidelines