solve the given equation using homogenous differential equation. solve no. 2

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
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solve the given equation using homogenous differential equation. solve no. 2

1. (x – y)dx + xdy = 0
2. (x + y)dx + xdy = 0
3. хах + (у — 2х)dy 3D 0
4. ydx = 2(x + y)dy
5. (y2 + yx)dx + x²dy = 0
6. (y2 + yx)dx + x²dy = 0
%3D
dy
7.-
dx
у — х
y +x
dy
х+ Зу
8.
dx
Зх + у
9. -ydx + (x +Vxy)dy = 0
dy
%3D
10. x
== y + Vx² – y2
|
dx
Transcribed Image Text:1. (x – y)dx + xdy = 0 2. (x + y)dx + xdy = 0 3. хах + (у — 2х)dy 3D 0 4. ydx = 2(x + y)dy 5. (y2 + yx)dx + x²dy = 0 6. (y2 + yx)dx + x²dy = 0 %3D dy 7.- dx у — х y +x dy х+ Зу 8. dx Зх + у 9. -ydx + (x +Vxy)dy = 0 dy %3D 10. x == y + Vx² – y2 | dx
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