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Cauchy-Euler Differential Equations (2nd Order Homogeneous)
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This differential equations video explains second order Cauchy Euler differential equations and focuses on the solutions for homogeneous Euler equations. We discuss distinct real roots, real repeated roots, and complex roots for the equation for m, and give you the forms for the solutions for each. We solve a couple of examples of each type as well.
0:00 Introduction to Euler equations
3:47 Solutions with distinct real m values
7:16 Solutions with real repeated m values
12:04 Solutions with complex conjugate m values
0:00 Introduction to Euler equations
3:47 Solutions with distinct real m values
7:16 Solutions with real repeated m values
12:04 Solutions with complex conjugate m values
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