A. Identify the order of the differential equation and determine whether it is linear or nonlinear. Equation 1. y' =e-2x 2. y" + 2xy = tan x 3. y' + ey = 0 4. y" - 2 y'+y=x² 5 y” + xỵy + y = 3 6. y()+ 3(sinx) y""+y' = 0 7. y"" = 0 Order Linearity

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.CR: Chapter 11 Review
Problem 16CR
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A. Identify the order of the differential equation and determine whether it is linear or nonlinear.
= -2x
1. y' e
Equation
2. y' + 2xy = tan x
3. y' + ey = 0
4. y" - 2 y'+y=x²
5 y” + xy + y =3
6. y (¹) + 3(sinx) y'”' + y' _= 0
7. y' = 0
8. yy'"-2 y' = 0
9. dy/dx = 4x³ + 2x
10. y) = 4 x³cos x
Order
Linearity
Transcribed Image Text:A. Identify the order of the differential equation and determine whether it is linear or nonlinear. = -2x 1. y' e Equation 2. y' + 2xy = tan x 3. y' + ey = 0 4. y" - 2 y'+y=x² 5 y” + xy + y =3 6. y (¹) + 3(sinx) y'”' + y' _= 0 7. y' = 0 8. yy'"-2 y' = 0 9. dy/dx = 4x³ + 2x 10. y) = 4 x³cos x Order Linearity
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