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Differential Equations: Example 2: Initial Value Problem

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First published at 02:50 UTC on October 9th, 2018.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over another example on differential equations and this time discuss the more practical need for finding a particular solution to a differential equation as opposed to a general solution. One such solution involves satisfying the additional requirement that the solution has a specific initial value. Thus in solving such a problem, known as an initial value problem, we get one particular solution. In this example I look back at the same differential equation from Example 1 but this time apply the initial condition y(0) = 2.

Thus in the physical sense, the particular solution to an initial value problem means that we take our initial known or measured condition and then predict the future values from this starting point. This is a pretty interesting video on how to go about solving an initial value problem so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhsIsflB-HCEIQkOQrQ

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/differential-equations-example-2-initial-value-problem

Related Videos:

Differential Equations: Example 1: https://youtu.be/n575RKO48Ro
Differential Equations: General Overview: https://youtu.be/jit59tIY4UI
Differential Equations: Spring Motion: Example 1: https://youtu.be/Twu30EJ93Wg
Differential Equations: Motion of a Spring: https://youtu.be/mk2TiR5dwVs
Differential Equations: Population Growth: https://youtu.be/Td8C_cTEGkA .

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