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Second-Order Equations with Constant Coefficients (Distinct Real Roots)

This ordinary differential equations video solves several examples of second-order homogeneous linear equations with constant coefficients, where the characteristic polynomial has distinct real roots. We convert each equation to the characteristic polynomial (auxiliary equation) and solve the quadratic equation. We then use this solution to find the general solution to the 2nd-order differential equation. 0:00 Intro & Solution Form 1:20 Example 1 2:45 Example 2 3:54 Example 3 5:12 Example 4 6:08 Example 5 Houston Math Prep Differential Equations Playlist:    • Differential Equations   Houston Math Prep YouTube:    / houstonmathprep