ญ 4. Consider the second ordinary differential equation y" = (2x-5y)y'. (a) Derive the determining equations for the symmetries of equation (2). (b) Solve the determining equations and find the symmetries of (2). 1. 2. -2x- მ2 მუ მუ + 5y- + 5n — 2č - მx2 მყ მყ მč 2x მყ - 5y მყ - θε +2 მ2 მყ მთმყ მ-n მ/2 2 3. მ -2x + 5ყ მთ 4. მმყ = მუ + მუ = 0. მე მ2 მყ2 = = 0. = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 27E
Question

i need help with b) and i submitted my answers for a) 

ญ
4. Consider the second ordinary differential equation
y" = (2x-5y)y'.
(a) Derive the determining equations for the symmetries of equation (2).
(b) Solve the determining equations and find the symmetries of (2).
Transcribed Image Text:ญ 4. Consider the second ordinary differential equation y" = (2x-5y)y'. (a) Derive the determining equations for the symmetries of equation (2). (b) Solve the determining equations and find the symmetries of (2).
1.
2.
-2x-
მ2
მუ
მუ
+
5y-
+ 5n — 2č
-
მx2
მყ
მყ
მč
2x
მყ
-
5y
მყ
-
θε
+2
მ2
მყ მთმყ
მ-n
მ/2
2
3.
მ
-2x
+
5ყ
მთ
4.
მმყ
=
მუ
+
მუ
= 0.
მე მ2
მყ2
= = 0.
=
0.
Transcribed Image Text:1. 2. -2x- მ2 მუ მუ + 5y- + 5n — 2č - მx2 მყ მყ მč 2x მყ - 5y მყ - θε +2 მ2 მყ მთმყ მ-n მ/2 2 3. მ -2x + 5ყ მთ 4. მმყ = მუ + მუ = 0. მე მ2 მყ2 = = 0. = 0.
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