15. After a correct transformation of variable, a homogeneous differential equation will be reduced to a separable equation. TRUE FALSE 16. Which of the following is the differential equation representing the family of straight lines whose measure of the slope is equal to its y-intercept? O dx + dy = 0 (x + 1) dx – ydy = ydx – (x + 1) dy = 0 (y – 1) dx + xdy = 0 %3D 17. What is the order of the differential equation below? d²x + k3x = dt? 1st order 4th order 3rd order 2nd order

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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15. After a correct transformation of variable, a homogeneous differential equation will be
reduced to a separable equation.
TRUE
FALSE
16. Which of the following is the differential equation representing the family of straight
lines whose measure of the slope is equal to its y-intercept?
O dx + dy = 0
O (x + 1) dx – ydy = 0
%3|
O ydx – (x + 1) dy = 0
O (y – 1) dx + xdy = 0
17. What is the order of the differential equation below?
d²x
+ k³x = 0
dt?
1st order
4th order
3rd order
2nd order
Transcribed Image Text:15. After a correct transformation of variable, a homogeneous differential equation will be reduced to a separable equation. TRUE FALSE 16. Which of the following is the differential equation representing the family of straight lines whose measure of the slope is equal to its y-intercept? O dx + dy = 0 O (x + 1) dx – ydy = 0 %3| O ydx – (x + 1) dy = 0 O (y – 1) dx + xdy = 0 17. What is the order of the differential equation below? d²x + k³x = 0 dt? 1st order 4th order 3rd order 2nd order
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