Solve this equation dy_3-x-y dx x+y-l by using an appropriate substitution

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.13: Using Factoring To Solve Problems
Problem 5P
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●
●
For homogenous DE
dx
=%/x leads to
X
U =
= x/y leads to
V =
x
dy
-N (1,u)
[M(1,u) + N (1,u)u]
-M (v,1)
y
[N(v₂1)+ M(v₂1)v]
If the roots of an auxiliary equation of a homogeneous DE are m₁ = a + ßi and m₂ = a - - Bi then the
general solution is y= ex (c, cos Bx+c, sin x)
Transcribed Image Text:● ● For homogenous DE dx =%/x leads to X U = = x/y leads to V = x dy -N (1,u) [M(1,u) + N (1,u)u] -M (v,1) y [N(v₂1)+ M(v₂1)v] If the roots of an auxiliary equation of a homogeneous DE are m₁ = a + ßi and m₂ = a - - Bi then the general solution is y= ex (c, cos Bx+c, sin x)
Solve this equation
dy_3-x-y
dx x+y-l
by using an appropriate substitution.
Transcribed Image Text:Solve this equation dy_3-x-y dx x+y-l by using an appropriate substitution.
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