Linear Differential Equations: Example 2

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!

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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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