1. For each givenDE, determine the dependent variables and independent variables.

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Solve the following please
1. For each givenDE, determine the dependent variables and independent variables.
Identify the type and determine the linearity of the given differential equation, and
also give its order and degree. I DE
dv iv Type Order Degree
1. x²y" + xy' = x² + y
2.
-
3.
4.
dC₁ = kС₁е-¹₁¹ - k₂C²
dt
d² y
dx²
0² y
ət²
5
- 3x4 y
0² y
0x²
d³ y
dx³
4
= x ln x
Linearty
O/P 1/18 1/3st Lin
NLu
ben of.
5. xsin y'=y"ex+y ':
6.
7.
5+ (y'')² = [3z³y² + (y'')³]4/³
04 w
²
2
at 4
Əs²
8. xyzx +2y³ (Z¸y)³ = 1
=h4.
-
Transcribed Image Text:1. For each givenDE, determine the dependent variables and independent variables. Identify the type and determine the linearity of the given differential equation, and also give its order and degree. I DE dv iv Type Order Degree 1. x²y" + xy' = x² + y 2. - 3. 4. dC₁ = kС₁е-¹₁¹ - k₂C² dt d² y dx² 0² y ət² 5 - 3x4 y 0² y 0x² d³ y dx³ 4 = x ln x Linearty O/P 1/18 1/3st Lin NLu ben of. 5. xsin y'=y"ex+y ': 6. 7. 5+ (y'')² = [3z³y² + (y'')³]4/³ 04 w ² 2 at 4 Əs² 8. xyzx +2y³ (Z¸y)³ = 1 =h4. -
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