Instructional Video
Khan Academy

Khan Academy: Differential Equations: Repeated Roots of Characteristic Equations

9th - 10th
Video shows what happens when the characteristic equation has repeated roots. Explains why just using the one root will not give a correct general equation. Shows an example of solving a differential equation where the characteristic...
Instructional Video
Khan Academy

Khan Academy: Differential Equations: Complex Roots of Characteristic Equation 3

9th - 10th
Video shows example of using formula derived in previous video for general solution of a differential equation when characteristic equation has complex roots. Includes using initial conditions to determine a particular solution. Shows...
Instructional Video
Khan Academy

Khan Academy: Differential Equations: 2nd Order Linear Homogeneous Equations 3

9th - 10th
Video continues from previous video where a general solution to a secondnd order linear homogeneous differential equation was found. Extends showing how to use initial conditions to find a particular solution. [5:59]
Instructional Video
Khan Academy

Khan Academy: Differential Equations:repeated Roots of Characteristic Equation 2

9th - 10th
Video shows example of solving a second order linear homogeneous differential equation when the characteristic equation has repeated roots. Includes using initial conditions to find a particular solution. [8:52]
Instructional Video
Khan Academy

Khan Academy: Differential Equations: Separable Differential Equations

9th - 10th
Video gives two examples of solving a separable differential equation. Includes determining the order of the equation and whether it is linear or non-linear. Shows an example with and without an initial condition. [12:00]
Instructional Video
Sophia Learning

Sophia: Finding a Particular Solution: Lesson 4

9th - 10th
This lesson practices finding particular solutions using initial conditions. It is 4 of 6 in the series titled "Finding a Particular Solution."
Instructional Video
Sophia Learning

Sophia: Finding a Particular Solution: Lesson 5

9th - 10th
This lesson practices finding particular solutions using initial conditions. It is 5 of 6 in the series titled "Finding a Particular Solution."
Instructional Video
Sophia Learning

Sophia: Finding a Particular Solution: Lesson 6

9th - 10th
This lesson practices finding particular solutions using initial conditions. It is 6 of 6 in the series titled "Finding a Particular Solution."
Instructional Video
Sophia Learning

Sophia: Finding a Particular Solution: Lesson 2

9th - 10th
This lesson practices finding particular solutions using initial conditions. It is 2 of 6 in the series titled "Finding a Particular Solution."