*6 = h (A soɔ) — ,,,h(Aus) (8)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please do question 1g in the photo. 

1. For the following differential equations, specify the independent and
dependent variables, state the order, and say whether the ODE is linear
or nonlinear:
(a) (1 − x)y" – 4xy+5y = sin .
(b) x dy
d²y
(c) t5y" - t³y + 6y = 0.
(d) du +u =
d²
du
dr
dr2
d²y
dx²
5
(dy) + y = 0.
=
sin u.
2
√₁+ (du) ².
1
(e)
(f) = (1+³)i — x.
-
*x*
(g) (sin)y"" - (cos) y = 9.
(Note: Since the word “degree" is ambiguous with at least four
competing definitions, I am not asking you about the "degree" of the
ODE.)
Transcribed Image Text:1. For the following differential equations, specify the independent and dependent variables, state the order, and say whether the ODE is linear or nonlinear: (a) (1 − x)y" – 4xy+5y = sin . (b) x dy d²y (c) t5y" - t³y + 6y = 0. (d) du +u = d² du dr dr2 d²y dx² 5 (dy) + y = 0. = sin u. 2 √₁+ (du) ². 1 (e) (f) = (1+³)i — x. - *x* (g) (sin)y"" - (cos) y = 9. (Note: Since the word “degree" is ambiguous with at least four competing definitions, I am not asking you about the "degree" of the ODE.)
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