For the following differential equations, determine a. order b. degree c. linearity(yes or no) d. dependent variables e. independent variable 1) (y′)23yy′ + xy = 0 2)( d2r/dt2)3+ (d2r/dt2)2+ y(dr/dy)= 0 3) xy′′′ − x2y′′ − x3y′ − y = x 4) x(d3y/dx3) + 7(dy/dx)− 7y = 6 5) 4y′′′ − 5y′′ − 6y = 0
For the following differential equations, determine a. order b. degree c. linearity(yes or no) d. dependent variables e. independent variable 1) (y′)23yy′ + xy = 0 2)( d2r/dt2)3+ (d2r/dt2)2+ y(dr/dy)= 0 3) xy′′′ − x2y′′ − x3y′ − y = x 4) x(d3y/dx3) + 7(dy/dx)− 7y = 6 5) 4y′′′ − 5y′′ − 6y = 0
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 15CR
Related questions
Question
For the following differential equations, determine
a. order
b. degree
c. linearity(yes or no)
d. dependent variables
e. independent variable
1) (y′)23yy′ + xy = 0
2)( d2r/dt2)3+ (d2r/dt2)2+ y(dr/dy)= 0
3) xy′′′ − x2y′′ − x3y′ − y = x
4) x(d3y/dx3) + 7(dy/dx)− 7y = 6
5) 4y′′′ − 5y′′ − 6y = 0
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