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Differential Equations: Spring Motion: Example 1

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First published at 02:10 UTC on October 19th, 2018.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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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.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsE1Ms_uLy2M-31Bnw

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-spring-motion-example-1

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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