Differential Equations: Spring Motion: Example 1

In this video I go over an example on differential equations and this time show that the solutions to the second-order differential equation y" + 9y = 0 are in the form of a combination of sine and cosine functions. This differential equation can be re-arranged to y" = -9y which is the same form as that in my last video on the motion of a spring. And thus as expected the solutions should be involving trigonometric functions because they model the oscillations of a spring very well.

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Related Videos:

Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA Integrals and Work: Example 2 - Hooke's Law: http://youtu.be/h8lwvB9rOng Derivative of Trigonometry Functions: Derivative of sin(x): http://youtu.be/elEvQ4Wu7Pk Derivative of Trigonometry Functions: Derivative of cos(x): http://youtu.be/LMjVp-GsrCw .

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