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Class notes Deferential equations (20232)
- Class notes • 145 pages • 2022
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Smooth to read and understand
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Exam (elaborations) TEST BANK FOR Advanced Engineering Mathematics [Volume 1] By Herbert Kreyszig and Erwin Kreyszig (Student Solutions Manual and Study Guide)
- Exam (elaborations) • 257 pages • 2021
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Exam (elaborations) TEST BANK FOR Advanced Engineering Mathematics [Volume 1] By Herbert Kreyszig and Erwin Kreyszig (Student Solutions Manual and Study Guide) 
P A R T A 
Ordinary 
Differential 
Equations (ODEs) 
Chap. 1 First-Order ODEs 
Sec. 1.1 Basic Concepts. Modeling 
To get a good start into this chapter and this section, quickly review your basic calculus. Take a look at 
the front matter of the textbook and see a review of the main differentiation and integration formulas. Also, 
Appen...
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Advance Math
- Class notes • 1 pages • 2020
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This is for electrical engineering student related subjects for you references in your subjects. Please analyze carefully the solutions. Email me at if you have questions. Thank you
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Partial Differential Equations - Lecture 7 Notes
- Class notes • 4 pages • 2019
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The aim of this course unit is to enable a student to:
1.	Demonstrate an understanding of methods used to solve partial differential equations and their engineering areas of application,
2.	Apply mathematical skills from partial differentiation to solve problems that require partial differentiation methods,
3.	Appreciate the role of partial differentiation in solving problems that are related to science and engineering.

At the end of this course unit, the student should be able to:
1.	Apply par...
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Partial Differential Equations - Lecture 8 Notes
- Class notes • 9 pages • 2019
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Available in package deal
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The aim of this course unit is to enable a student to:
1.	Demonstrate an understanding of methods used to solve partial differential equations and their engineering areas of application,
2.	Apply mathematical skills from partial differentiation to solve problems that require partial differentiation methods,
3.	Appreciate the role of partial differentiation in solving problems that are related to science and engineering.

At the end of this course unit, the student should be able to:
1.	Apply par...
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Partial Differential Equations - Lecture 9 Notes
- Class notes • 6 pages • 2019
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Available in package deal
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- $4.53
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The aim of this course unit is to enable a student to:
1.	Demonstrate an understanding of methods used to solve partial differential equations and their engineering areas of application,
2.	Apply mathematical skills from partial differentiation to solve problems that require partial differentiation methods,
3.	Appreciate the role of partial differentiation in solving problems that are related to science and engineering.

At the end of this course unit, the student should be able to:
1.	Apply par...
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6. Second and higher order ODEs
- Class notes • 3 pages • 2019
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Singular solutions for ODEs with examples and a graph. Existence and uniqueness theorem example. Picard's Iteration Method theory and an example.
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7. Second and higher order ODEs
- Class notes • 5 pages • 2019
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Example finished from the end of the last notes. Definitions of linearly independent, linear dependence and linear combination with an example. Existence and uniqueness theorem. Example of solving a third order IVP. Definition of the Wronskian, the Wronskian test with examples and a proof.
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8. Second and higher order ODEs
- Class notes • 5 pages • 2019
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Available in package deal
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Picard's Iteration method with example and using matlab to solve. Classification of ODEs: order and linearity. Initial value problem theory: autonomy, deterministism, homogeneous linear ODEs and superposition with proof. Different cases of equation giving examples of the different types and features.
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9. Second and higher order ODEs
- Class notes • 5 pages • 2019
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Available in package deal
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Existence and completeness theorem and a general proof (not complete), Characteristic Equation derivation and the different types with an example. Theory of linear independent solutions and a basis, using Wronksian for linear independence and basis- partial proof. Complex roots theory and an example with a graph and matlab code. Multiple roots theory of the number of linearly independent solutions and an example.
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