Differential Equations Lectures with The Math Sorcerer
Full Lectures + Assignments + Solutions + Final Exam with Solutions
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33 hours
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May 2023
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$69.99
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What you will learn
What is a Differential Equation
The Difference Between Ordinary and Partial Differential Equations
How to Find the Order of a Differential Equation
How to Determine if a Differential Equation is Linear or Nonlinear
The Definition of a One Parameter and a Two Parameter Family of Solutions
The Definition of the General Solution
The Definition of a Singular Solution
How to Find the Interval of Definition
The Definition of a Particular Solution
The Definition of an Initial Value Problem(I.V.P.) and What it Means Graphically
How to Solve an Initial Value Problem
How to Solve Separable Differential Equations
How to Solve Linear Differential Equations by Finding using the Integrating Factor
How to Determine if a Differential Equation is Exact
How to Solve Exact Differential Equations
The Definition of a Homogeneous Function
How to Determine if a Differential Equation is Homogeneous
How to Solve Homogeneous Differential Equations
How to Solve Bernoulli Differential Equations
How to Solve Differential Equations of the Form dy/dx = f(Ax + By + C)
How to use Newton's Law of Cooling to Solve a Word Problem
The Definition of Linear Independence and Dependence Applied to Functions
How to Prove a Set of Functions is Linearly Dependent or Indepenent
How to Compute the Wronksian of a Set of Functions
How to Use the Wronskian to Show Functions are Linearly Independent
The Terminology and Theory Surrounding Solutions of Linear Homogeneous Differential Equations with Constant Coefficients
What it Means Graphically for Two Functions to Be Independent or Dependent
Motivation and Proof Sketch for the Method used to Solve Linear Differential Equations with Constant Coefficients
How to Solve Linear Homogeneous Differential Equations with Constant Coefficients by Using the Auxiliary/Characteristic Equation
How to Use the Rational Roots Theorem, Quadratic Equation, and Various Factoring Techniques to Solve Linear DE's
How to Solve Initial Value and Boundary Value Problems with Linear DE's
How to Use The Method of Undetermined Coefficients to Solve Linear Nonhomogeneous Differential Equations with Constant Coefficients
How to Find the Complementary Function
How to Find the Form of the Particular Solution y_p
How to Use Variation of Parameters to Solve Linear Nonhomogeneous Differential Equations
How to Solve Cauchy-Euler Differential Equations
How to Find the Laplace Transform of a Function using the Definition
How to Find the Laplace Transform of a Piecewise Function using the Definition
How to Find the Laplace Transform from a Graph using the Definition
How to Use Formulas to Find the Laplace Transform of a Function
How to Find the Inverse Laplace Transform of a Function
How to Use the First Translation Theorem for Laplace Transforms
How to Solve Initial Value Problems using Laplace Transforms
How to Use Partial Fractions to Solve Laplace Transform Problems
How to Use the Heavyside Coverup Method in Laplace Transform Problems
The Definition of Convergence of a Series
How to Use The nth Term Test for Infinite Series
How to Use the p-test for Infinite Series
How to Use The Alternating Series Test for Infinite Series
How to Use The Ratio Test for Infinite Series
How to Use The Root Test for Infinite Series
How to Use The Direct Comparison Test for Infinite Series
How to Use The Limit Comparison Test for Infinite Series
Understand The Convergence Theorem for Series - Both the Real and Complex Case
How to Find the Interval and Radius of Convergence for an Infinite Series
How to Find Two Linearly Independent Solutions to a Differential Equation
How to Solve Differential Equations using Power Series
How to Solve an Initial Value Problem using Power Series
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4681348
udemy ID
5/10/2022
course created date
7/18/2022
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