Statement and proof of superposition principle.

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The independent solutions of second order linear homogeneous differential equations are defined and calculated. The superposition principle is stated and proved. Linear operator is defined and explained. The method of solving initial value problems is discussed in this video lecture. The wronskian determinant is defined and the wronskian of two functions is calculated. Under what condition the wronskian of two functions will be zero is explained.
Prof. Arthur Mattuck, Maths, 18.03.Differential Equations, Spring 2010: 11: Theory of General Second-order Linear Homogeneous ODEs: Massachusetts Institute of Technology: MIT Open Course Ware), (Accessed November 7, 2011). License: Creative Commons BY-NC-SA:

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