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

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
●
●
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.
Expert Solution
Step 1: Given

The given differential equation is; 

dy/dx = (3-x-y) /(x+y-1)

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