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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 9E: Find the general solution for each differential equation. Verify that each solution satisfies the...
icon
Related questions
Question
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)
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,