A Complete First Course in Differential Equations

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4.2 GB

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04/24/20 at 4:21pm GMT+1

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Verified by VeriPLUS

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Description

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A University Level Introductory Course in Differential Equations

What you'll learn

• Classify differential equations according to their type and order.
• Solve first order differential equations that are separable, linear, homogeneous, exact, as well as other types that can be solved through different substitutions.
• Use first order differential equations to model different applications from science.
• Solve linear second order equations with constant coefficients (both homogenous and non-homogeneous) using the method of undetermined coefficients, variation of parameters, and Laplace transforms.
• Understand the theory of linear second order differential equations and how it relates to ideas from linear algebra.
• Use linear second order equations with constant coefficients (both homogenous and non-homogeneous) to model applications from science.

Requirements

• First year differential and integral calculus

Description

This course will teach everything that is usually taught in the first two semesters of a university/college course in differential equations. The topics we will consider in this course are
1. First Order Differential Equations
2. Linear Equations of Higher Order
3. Laplace Transform Methods
4. Linear Systems of Differential Equations
5. Power Series Methods
6. Partial Differential Equations
7. Fourier Series
8. Sturm Liouville Eigenvalue Problems
9. Nonlinear Systems of Differential Equations
10. Numerical Methods

Who this course is for:

• Students taking differential equations at college or university
• Students preparing to take differential equations at college or university
• Anyone who wants to learn about the subject of differential equations

File list

A Complete First Course in Differential Equations
1. Introduction to Differential Equations and their Applications/1. Object falling under the force of gravity.mp4 7.5 MB
1. Introduction to Differential Equations and their Applications/1. Object falling under the force of gravity.vtt 8 KB
1. Introduction to Differential Equations and their Applications/2. Object falling under the force of gravity and air resistance.mp4 4.1 MB
1. Introduction to Differential Equations and their Applications/2. Object falling under the force of gravity and air resistance.vtt 4.5 KB
1. Introduction to Differential Equations and their Applications/3. Motion of a mass on a spring.mp4 9.3 MB
1. Introduction to Differential Equations and their Applications/3. Motion of a mass on a spring.vtt 7.1 KB
1. Introduction to Differential Equations and their Applications/4. RLC Circuits.mp4 21.4 MB
1. Introduction to Differential Equations and their Applications/4. RLC Circuits.vtt 7.4 KB
1. Introduction to Differential Equations and their Applications/5. Motion of a simple pendulum.mp4 8.2 MB
1. Introduction to Differential Equations and their Applications/5. Motion of a simple pendulum.vtt 5.9 KB
1. Introduction to Differential Equations and their Applications/6. More Differential Equation Models.mp4 14.9 MB
1. Introduction to Differential Equations and their Applications/6. More Differential Equation Models.vtt 10.7 KB
1. Introduction to Differential Equations and their Applications/7. Defining and Classifying Differential Equations.mp4 17.4 MB
1. Introduction to Differential Equations and their Applications/7. Defining and Classifying Differential Equations.vtt 14.2 KB
1. Introduction to Differential Equations and their Applications/8. Solutions of Differential Equations.mp4 8.5 MB
1. Introduction to Differential Equations and their Applications/8. Solutions of Differential Equations.vtt 6.4 KB
1. Introduction to Differential Equations and their Applications/9. Explicit and Implicit Solutions.mp4 5.1 MB
1. Introduction to Differential Equations and their Applications/9. Explicit and Implicit Solutions.vtt 3.7 KB
1. Introduction to Differential Equations and their Applications/Must Read.txt 540 B
2. First Order Differential Equations/1. Slope Fields and Solution Curves.mp4 25.1 MB
2. First Order Differential Equations/1. Slope Fields and Solution Curves.vtt 12.4 KB
2. First Order Differential Equations/10. Differential Equation for Mixing Problems.mp4 16.8 MB
2. First Order Differential Equations/10. Differential Equation for Mixing Problems.vtt 8.7 KB
2. First Order Differential Equations/11. Mixing Problem Example.mp4 15 MB
2. First Order Differential Equations/11. Mixing Problem Example.vtt 7.1 KB
2. First Order Differential Equations/12. Exact Differential Equations.mp4 12.1 MB
2. First Order Differential Equations/12. Exact Differential Equations.vtt 6.6 KB
2. First Order Differential Equations/13. Exact Differential Equation Example 1.mp4 18.5 MB
2. First Order Differential Equations/13. Exact Differential Equation Example 1.vtt 8 KB
2. First Order Differential Equations/14. Exact Differential Equation Example 2.mp4 19.3 MB
2. First Order Differential Equations/14. Exact Differential Equation Example 2.vtt 8.9 KB
2. First Order Differential Equations/15. Introduction to Substitution Methods.mp4 9.9 MB
2. First Order Differential Equations/15. Introduction to Substitution Methods.vtt 6 KB
2. First Order Differential Equations/16. Homogenous Differential Equations.mp4 12 MB
2. First Order Differential Equations/16. Homogenous Differential Equations.vtt 8.3 KB
2. First Order Differential Equations/17. Homogeneous Differential Equation Example 1.mp4 12.6 MB
2. First Order Differential Equations/17. Homogeneous Differential Equation Example 1.vtt 7.2 KB
2. First Order Differential Equations/18. Homogeneous Differential Equation Example 2.mp4 4 MB
2. First Order Differential Equations/18. Homogeneous Differential Equation Example 2.vtt 2.5 KB
2. First Order Differential Equations/19. Bernoulli Differential Equations.mp4 10.9 MB
2. First Order Differential Equations/19. Bernoulli Differential Equations.vtt 6.4 KB
2. First Order Differential Equations/2. Existence and Uniqueness for first order Differential Equations.mp4 17.6 MB
2. First Order Differential Equations/2. Existence and Uniqueness for first order Differential Equations.vtt 9.7 KB
2. First Order Differential Equations/20. Reduction of a Second Order Differential Equation to a First Order One.mp4 13.2 MB
2. First Order Differential Equations/20. Reduction of a Second Order Differential Equation to a First Order One.vtt 9.2 KB
2. First Order Differential Equations/21. Assignment #1.pdf 337.1 KB
2. First Order Differential Equations/3. Separable Differential Equations.mp4 8.6 MB
2. First Order Differential Equations/3. Separable Differential Equations.vtt 6.1 KB
2. First Order Differential Equations/4. Separable Differential Equation Examples.mp4 6.8 MB
2. First Order Differential Equations/4. Separable Differential Equation Examples.vtt 5.3 KB
2. First Order Differential Equations/5. Newtons Law of Cooling.mp4 9.6 MB
2. First Order Differential Equations/5. Newtons Law of Cooling.vtt 7 KB
2. First Order Differential Equations/6. Newtons Law of Cooling Homicide Victim Example.mp4 13 MB
2. First Order Differential Equations/6. Newtons Law of Cooling Homicide Victim Example.vtt 5 KB
2. First Order Differential Equations/7. Torricellis Law.mp4 15.5 MB
2. First Order Differential Equations/7. Torricellis Law.vtt 8.7 KB
2. First Order Differential Equations/8. Torricellis Law Example.mp4 19.7 MB
2. First Order Differential Equations/8. Torricellis Law Example.vtt 10.7 KB
2. First Order Differential Equations/9. Linear First Order Differential Equations.mp4 20 MB
2. First Order Differential Equations/9. Linear First Order Differential Equations.vtt 11.9 KB
3. Higher Order Differential Equations/1. Higher Order Differential Equations.mp4 6.6 MB
3. Higher Order Differential Equations/1. Higher Order Differential Equations.vtt 4.9 KB
3. Higher Order Differential Equations/10. Theory of Higher Order Equations.mp4 15.8 MB
3. Higher Order Differential Equations/10. Theory of Higher Order Equations.vtt 9.3 KB
3. Higher Order Differential Equations/11. Solving Second Order Equations with Constant Coefficients.mp4 5.1 MB
3. Higher Order Differential Equations/11. Solving Second Order Equations with Constant Coefficients.vtt 3.4 KB
3. Higher Order Differential Equations/12. Second Order Equations with Constant Coefficients Distinct Roots.mp4 4.3 MB
3. Higher Order Differential Equations/12. Second Order Equations with Constant Coefficients Distinct Roots.vtt 3.9 KB
3. Higher Order Differential Equations/13. Solving Second Order Equations with Constant Coefficients 1 Root.mp4 5.9 MB
3. Higher Order Differential Equations/13. Solving Second Order Equations with Constant Coefficients 1 Root.vtt 4 KB
3. Higher Order Differential Equations/14. Solving Second Order Equations with Constant Coefficients Complex Roots.mp4 17 MB
3. Higher Order Differential Equations/14. Solving Second Order Equations with Constant Coefficients Complex Roots.vtt 9 KB
3. Higher Order Differential Equations/15. Method of Reduction.mp4 17.4 MB
3. Higher Order Differential Equations/15. Method of Reduction.vtt 9.7 KB
3. Higher Order Differential Equations/16. Higher Order Equations Distinct Real Roots.mp4 5.4 MB
3. Higher Order Differential Equations/16. Higher Order Equations Distinct Real Roots.vtt 4.1 KB
3. Higher Order Differential Equations/17. Higher Order Equations Repeated Real Roots.mp4 6.6 MB
3. Higher Order Differential Equations/17. Higher Order Equations Repeated Real Roots.vtt 5 KB
3. Higher Order Differential Equations/18. Higher Order Equations Distinct Complex Roots.mp4 3.5 MB
3. Higher Order Differential Equations/18. Higher Order Equations Distinct Complex Roots.vtt 2.1 KB
3. Higher Order Differential Equations/2. Linear Differential Operators.mp4 5.6 MB
3. Higher Order Differential Equations/2. Linear Differential Operators.vtt 3.7 KB
3. Higher Order Differential Equations/3. Principal of Superposition.mp4 9.7 MB
3. Higher Order Differential Equations/3. Principal of Superposition.vtt 5.3 KB
3. Higher Order Differential Equations/4. Existence and Uniqueness Theorem.mp4 4.1 MB
3. Higher Order Differential Equations/4. Existence and Uniqueness Theorem.vtt 3.5 KB
3. Higher Order Differential Equations/5. The Wronskian Determinant.mp4 19.7 MB
3. Higher Order Differential Equations/5. The Wronskian Determinant.vtt 8.4 KB
3. Higher Order Differential Equations/6. General Solutions of Second Order Linear Homogenous Equations.mp4 15.4 MB
3. Higher Order Differential Equations/6. General Solutions of Second Order Linear Homogenous Equations.vtt 8.7 KB
3. Higher Order Differential Equations/7. Summary of Theory for Second Order Homogenous Equations.mp4 4.3 MB
3. Higher Order Differential Equations/7. Summary of Theory for Second Order Homogenous Equations.vtt 2.3 KB
3. Higher Order Differential Equations/8. Linear Independence and the Wronskian.mp4 23.1 MB
3. Higher Order Differential Equations/8. Linear Independence and the Wronskian.vtt 10.7 KB
3. Higher Order Differential Equations/9. Wronskian of Solutions.mp4 13.9 MB
3. Higher Order Differential Equations/9. Wronskian of Solutions.vtt 6.8 KB
8. Nonlinear Systems/6. Review of Linear Systems Phase Portraits.mp4 111.8 MB

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