Differential Equations Videos and Notes

ODE Ch 1 Note What is ODE.pdf

2. What is the order of a DE?

3. Examples of The Order of ODE and Independent Variable

4. General Form of an n-th order DE

5. Exponential Function is a Solution of Second Order Differential Equation 

6. tanx -x  is a Solution for First Order Differential Equation y'=(x+y)^2 

7. Explicit vs Implicit Function: A Relation F(x, y)=0 is Said to Be an Implicit Solution of an ODE

ODE Ch 2 Note Direction Fields and Isoclines.pdf

9. Slope Field/ Isoclines to Graph the Solution of ODE example 1 

10. Slope Field of Isoclines to Graph the Solution of ODE example 2 

11. Slope Field of Isoclines to Graph the Solution of ODE example 3 

12. Slope Field of Isoclines to Graph the Solution of ODE example 4 

ODE Separable Equations.pdf

Separable and None Separable First Order Differential Equations Example 1 

What Is a Separable ODE and Simple Example 1 

What Is a #Separable ODE and Simple Example 2 

What Is a Separable ODE and Simple Example 3 

Solve Separable ODE ydx= (1+x)dy

Solve Separable ODE dx=dy/( y^2-4) 

Solve An Initial-Value Problem Using Integration by Parts
ODE Linear Equations-2.pdf

First Order Linear Differential Equations (x^2-9)y'+xy=0 or (x^2-9)dy+xydx=0 

Solving a First Order  linear  Differential Equation Using integrating factor 

Find Integrating Factor for a None Standard Linear Differential Equations 

Example of First Order Linear ODE Using Integrating Factor 

ODE Exact Equations.pdf

Definition and Condition for an Exact Differential Equations 

Examples of Exact and Nonexact ODE 

The Difference Between a Homogeneous Function and Homogeneous Differential Equation 

Solve a Homogeneous DE by Converting to a Separable DE 

Converting a None-Separable DE to Separable DE Using Substitution z=ax+by 

Bernoulli’s Equation: t^2 dy/dt +  y^2 = ty 

Bernoulli's Differential Equations xy' + y= x^2y^2 

A culture initially has P0 number of bacteria. At 1 h the number of bacteria 

Newton's Cooling/ Warming Application: How long will it take for the cake to cool off to 70 degrees?

Differential Equations A dead body was found within closed room of a house where temperature was 70 

Concentration of Salt in Brine: If 50 pounds of salt were dissolved initially in the 300 gallons 

Concentration of Salt in Brine: A tank contains 200 liters of fluid in which 30 grams of salt

ODE Second Order Linear ODE.pdf

Wronskian, Fundamental Set, General Solution of a Homogeneous DE