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Reduction of Order (Second-Order Non-Homogeneous Example)

This ordinary differential equations video solves an example of a non-homogeneous second-order equation using the method of reduction of order. Given one solution from the fundamental solution set, we explain how to find the general solution. We work through the example fully and explain the substitutions used as we go, reducing the equation to a first-order differential equation. We use reduction of order to turn the non-homogeneous equation into a linear first-order equation, find the integrating factor, and then solve. 0:00 Making the 1st substitution 4:02 Reducing to a 1st-order equation 6:54 Substitution/Integration to solve Houston Math Prep Differential Equations Playlist:    • Differential Equations   Houston Math Prep YouTube:    / houstonmathprep  

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