Finding the general solutions. Note: All Khan Academy content is available for free at (www.khanacademy.org)

Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients. Note: All Khan Academy content is available for free at (www.khanacademy.org)

Note: All Khan Academy content is available for free at (www.khanacademy.org)

Intuition and visualization of differential equation solutions using slope fields. Note: All Khan Academy content is available for free at (www.khanacademy.org)

Lesson on solving first order, separable differential equations. Note: All Khan Academy content is available for free at (www.khanacademy.org)

Introduction into finding solutions to differential equations. Note: All Khan Academy content is available for free at (www.khanacademy.org)

Introduction to first order differential equations. Note: All Khan Academy content is available for free at (www.khanacademy.org)

Note: All Khan Academy content is available for free at (www.khanacademy.org)

Leaving Cert Applied Maths Compound Pendulum Examples. Check out KeysToMaths1 for more tutorials and solutions: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

The differential equation for the angular position of a compound pendulum for small oscillations is derived from the principle of angular momentum. This has the same form as the differential equation for simple harmonic motion. From this, a formula for the periodic time of the pendulum is found. Check out KeysToMaths1 for more tutorials and solutions: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

NOTE: Non Leaving Cert Example of a non - separable differential equation. This example shows that a linear combination of the solutions of an ordinary linear differential equation with constant coefficients is itself a solution of the differential equation. This example models a mass attached to a spring in a resistive medium. The force on the mass is proportional to both the displacement and the velocity of the mass. Check out KeysToMaths1 for more tutorials and solutions: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

In this example, the resistive force on the particle is proportional to the speed v of the particle. Usually the resistive force is proportional to v^2. Because of this resistance, the falling particle reaches a limiting velocity called the terminal velocity. Check out KeysToMaths1 for more tutorials and solutions: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

A resistive force on a particle always points opposite to the velocity of the particle. Friction is an example of a resistive force. Check out KeysToMaths1 for more tutorials and solutions: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

Worked solutions to questions on differential equations, as seen on higher level papers 2011 and 2013. Check out KeysToMaths1 for more tutorials and solutions: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

The order of a differential equation is the order of the highest derivative. Check out KeysToMaths1 for more tutorials and solutions: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

The order of a differential equation is the order of the highest derivative. Check out KeysToMaths1 for more tutorials and solutions: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug

Calculus is used to explain the formulas for linear motion with uniform acceleration. Derivation of formulas via calculus and differential equations. Check out KeysToMaths1 for more tutorials and solutions: https://www.youtube.com/channel/UCOYoe9L9R13HGUIhszjkeug