dy 6. 2x = (3y +x). dx dx 7. y2+ 2xy = sin y ,x(1) = 1 dy dx_ -2x csc 2y – 2x³ cos 2y 8. dy sec 2y

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
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What kind of Differential Equations are the follwing?

Choices:
a. Variable-separable
b. Homogeneous
c. Exact/ Inexact
d. Linear
e. Bernoulli
f. Second-order reducible to first order

*and if you can insert just a short and brief reason why. thank you!

6. 2x = (3y + x);
dy
dx
%3D
dx
7. y?+
+ 2xy = sin y, x(n) = 1
dy
dx -2x csc 2y – 2x³ cos 2y
8.
dy
sec 2y
9. (y3 – 3y + 2)/9 +x²dx + x?dy = 0
10. (x2 – 1)y" + 2y' – (x – 1)(x + 1)? = 0
Transcribed Image Text:6. 2x = (3y + x); dy dx %3D dx 7. y?+ + 2xy = sin y, x(n) = 1 dy dx -2x csc 2y – 2x³ cos 2y 8. dy sec 2y 9. (y3 – 3y + 2)/9 +x²dx + x?dy = 0 10. (x2 – 1)y" + 2y' – (x – 1)(x + 1)? = 0
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