Linear Homogeneous Equations - Revision history

Lila at 16:49, 20 September 2021

2021-09-20T16:49:42Z

Lila at 16:44, 20 September 2021

2021-09-20T16:44:26Z

Lila: /* Resources */

2021-09-18T02:25:15Z

Resources

Lila at 02:23, 18 September 2021

2021-09-18T02:23:27Z

Lila: Created page with "Homogeneous linear differential equations take the form $P_{n}(x)y^{(n)} + P_{n-1}(x)y^{(n-1)} + ... + P_{2}(x)y^{(2)} + P_{1}(x)y^{(1)}$ ==Resources== * [https:/..."

2021-09-18T02:22:16Z

Created page with "Homogeneous linear differential equations take the form <math> P_{n}(x)y^{(n)} + P_{n-1}(x)y^{(n-1)} + ... + P_{2}(x)y^{(2)} + P_{1}(x)y^{(1)} </math> ==Resources== * [https:/..."

New page

Homogeneous linear differential equations take the form <math> P_{n}(x)y^{(n)} + P_{n-1}(x)y^{(n-1)} + ... + P_{2}(x)y^{(2)} + P_{1}(x)y^{(1)} </math>
==Resources==
* [https://web.stanford.edu/class/archive/math/math21/math21.1146/files/21/notes8.pdf Homogeneous Linear Differential Equations], Stanford University

@@ Line 1: / Line 1: @@
-Homogeneous linear differential equations take the form
+Linear differential equations take the form
 <math> P_{n}(x)y^{(n)} + P_{n-1}(x)y^{(n-1)} + ... + P_{1}(x)y' + P_{0}(x)y = Q(x) </math>
 where <math> P_{n}(k) </math> and <math> Q(x) </math> are functions of the independent variable x and <math> y^{k} </math> is the k-th derivative of <math> y(x) </math> with respect to x.

← Older revision		Revision as of 16:44, 20 September 2021
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	Homogeneous linear differential equations take the form		Homogeneous linear differential equations take the form

−	<math> P_{n}(x)y^{(n)} + P_{n-1}(x)y^{(n-1)} + ... + P_{1}(x)y' + P_{0}(x)y = Q(x) </math>.	+	<math> P_{n}(x)y^{(n)} + P_{n-1}(x)y^{(n-1)} + ... + P_{1}(x)y' + P_{0}(x)y = Q(x) </math>
		+
		+	where <math> P_{n}(k) </math> and <math> Q(x) </math> are functions of the independent variable x and <math> y^{k} </math> is the k-th derivative of <math> y(x) </math> with respect to x.

← Older revision		Revision as of 02:25, 18 September 2021
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	==Resources==		==Resources==
	* [https://web.stanford.edu/class/archive/math/math21/math21.1146/files/21/notes8.pdf Homogeneous Linear Differential Equations], Stanford University		* [https://web.stanford.edu/class/archive/math/math21/math21.1146/files/21/notes8.pdf Homogeneous Linear Differential Equations], Stanford University
		+	* [https://www.whitman.edu/mathematics/calculus_online/section17.02.html First Order Homogeneous Linear Equations], Whitman College