(Q1.) State whether the following equations is linear or non-linear and gives its order, degree, and the dependent variable, and independent variable of the following. Differential Equation y"" - 3y + 2y = sin y (1- y²)y + 2y = x² (y")³2(y) ¹4+ y = 0 dy y" = cos(x + y) √y² = et List of Differentials Equations Linearity Order Degree dependent variable independent variable

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Author:James Stewart
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Chapter1: Functions And Models
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Answer the following questions.
(Q1.) State whether the following equations is linear or non-linear and gives its order,
degree, and the dependent variable, and independent variable of the following.
Differential Equation
y"" - 3y + 2y = sin y
(1 - y²)y' + 2y = x²
(y")³2(y')4+ y = 0
cos(x + y)
dy
y" -√√√y² = et
List of Differentials Equations
Order Degree
Linearity dependent variable independent variable
Transcribed Image Text:Answer the following questions. (Q1.) State whether the following equations is linear or non-linear and gives its order, degree, and the dependent variable, and independent variable of the following. Differential Equation y"" - 3y + 2y = sin y (1 - y²)y' + 2y = x² (y")³2(y')4+ y = 0 cos(x + y) dy y" -√√√y² = et List of Differentials Equations Order Degree Linearity dependent variable independent variable
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