The general solution of the differential equation dy/dx 12x is y = 4x + C. Select one: O True O False The particular solution that satisfies the differential equation and the initial condition of dy/dx x² + 2x- 4; y = 8/3 when x = 2 is y = (1/3)x³ + x² - 4. Select one: O True O False The differential equation (xy2 + y)dy (x+ 1)dx is separable. Select one: O True O False

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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The general solution of the differential equation dy/dx 12x is y = 4x + C.
Select one:
O True
O False
The particular solution that satisfies the differential equation and the initial condition of dy/dx = x² + 2x- 4; y
= 8/3 when x = 2 is y = (1/3)x3 + x? - 4.
Select one:
O True
O False
The differential equation (xy2 + y)dy (x+ 1)dx is separable.
Select one:
O True
O False
Transcribed Image Text:The general solution of the differential equation dy/dx 12x is y = 4x + C. Select one: O True O False The particular solution that satisfies the differential equation and the initial condition of dy/dx = x² + 2x- 4; y = 8/3 when x = 2 is y = (1/3)x3 + x? - 4. Select one: O True O False The differential equation (xy2 + y)dy (x+ 1)dx is separable. Select one: O True O False
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