I. Determine whether the given differential equations are homogenous or not homogenous. If the equation is homogenous, state the degree. 1. y' = 2 2. y' = x+ xy 3. y' =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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I. Determine whether the given differential equations are homogenous or not
homogenous. If the equation is homogenous, state the degree.
1. y' =
2. y' =
/xy
3. y'=
4. y' = sin-+-arctan x
yy
5. y' = Inx-Iny-e
II. Solve the following homogenous equation
1. y' =
2. xydy = (x? + 2y?)dx
3. y' =y
Zxy
4. v²dy + y(y + v)dv = 0
5. (xdx + sin? (ydx – xdy) = 0
Transcribed Image Text:I. Determine whether the given differential equations are homogenous or not homogenous. If the equation is homogenous, state the degree. 1. y' = 2. y' = /xy 3. y'= 4. y' = sin-+-arctan x yy 5. y' = Inx-Iny-e II. Solve the following homogenous equation 1. y' = 2. xydy = (x? + 2y?)dx 3. y' =y Zxy 4. v²dy + y(y + v)dv = 0 5. (xdx + sin? (ydx – xdy) = 0
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