Let y = f(x) be the particular solution to the differential equation dy = -4xy³, with the initial condition f(−1) = −1. Which of the following gives an expression for f(x) and the domain for which the solution is valid? ○ f(x)= 1 for (-∞, ) and ∞0) 4x2 3 dx ○ f(x)= 1 for (-on-√3) and (√3,00) ○ f(x)= 1 √4x²-3 for (-∞, ) and ( 7:00) 1 f(x)=- √4x²-3 for (-oo-√3) and (√3,00)

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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Let y = f(x) be the particular solution to the differential equation dy = -4xy³, with the initial condition f(−1) = −1. Which of the following gives an expression for f(x) and the domain for which the solution is valid?
○ f(x)=
1
for (-∞,
) and
∞0)
4x2
3
dx
○ f(x)=
1
for (-on-√3) and (√3,00)
○ f(x)=
1
√4x²-3
for (-∞,
) and (
7:00)
1
f(x)=-
√4x²-3
for (-oo-√3) and (√3,00)
Transcribed Image Text:Let y = f(x) be the particular solution to the differential equation dy = -4xy³, with the initial condition f(−1) = −1. Which of the following gives an expression for f(x) and the domain for which the solution is valid? ○ f(x)= 1 for (-∞, ) and ∞0) 4x2 3 dx ○ f(x)= 1 for (-on-√3) and (√3,00) ○ f(x)= 1 √4x²-3 for (-∞, ) and ( 7:00) 1 f(x)=- √4x²-3 for (-oo-√3) and (√3,00)
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