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Linear Differential Equations: Example 2

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First published at 04:27 UTC on March 21st, 2018.

Math Easy Solutions

MES

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In this video I go over another example on Linear Differential Equations and this time solve the initial-value problem: (x^2)y' + xy = 1, given that y(1) = 2 (and x is positive). In this example, we first have to write the equation in the standard linear equation form of y' + P(x)y = Q(x). From there it is standard procedure to solve for y(x). Also in the video I plot the solution as well using L'Hospital's Rule to determine the limit as the x approaches infinity. This is a pretty interesting video on the procedure on solving linear differential equations, so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIhttf8Je9Ey228KTTIA

Related Videos:

Linear Differential Equations: Example 1: https://youtu.be/YW_QJ7RQlBY
Linear Differential Equations: https://youtu.be/T3MliJDBaxc
Differential Equations: Exponential Growth and Decay: https://youtu.be/DZtDUIZuxcg
Differential Equations: Separable Equations: https://youtu.be/pBV-xT9ty94
Power Functions and their Properties Part 1 - A Simple Explanation: http://youtu.be/2MKko4ZkSf0
Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI
L'Hospital's Rule - A general Proof: http://youtu.be/FhFWfVUBXC4 .

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