How to Compute a Wronskian & Linear Independence
21.7 هزار بار بازدید -
4 سال پیش
-
This ordinary differential equations tutorial
This ordinary differential equations tutorial video explains how to compute the Wronskian for a group of functions. We also show how to use the Wronskian to decide if a group of functions is linearly independent on an interval, and we discuss this for each of our examples that we work in the video. We work a couple of 2x2 examples and also a couple of 3x3 examples of computing the Wronskian, showing the determinant process. Wronskians are used often in second-order differential equations to test for linear independence and to find solutions using the method of Variation of Parameters.
0:00 Introduction
1:16 Example 1 (2 functions)
3:12 Example 2 (2 functions)
4:46 Example 3 (3 functions)
8:21 Example 4 (3 functions)
Houston Math Prep Differential Equations Playlist: Differential Equations
Houston Math Prep YouTube: houstonmathprep
0:00 Introduction
1:16 Example 1 (2 functions)
3:12 Example 2 (2 functions)
4:46 Example 3 (3 functions)
8:21 Example 4 (3 functions)
Houston Math Prep Differential Equations Playlist: Differential Equations
Houston Math Prep YouTube: houstonmathprep
4 سال پیش
در تاریخ 1399/04/07 منتشر شده
است.
21,712
بـار بازدید شده