Consider the following 1" order initial value problem: with y(0) = 1 (E) Which of the following functions is a solution of (E)? O y(t)=(1.5(t+1)^3-15t+1)^(1/3) O y(t)=(1.5 (t+1)^2-15t+1)^(1/3) O y(t)=(1.5 t^2-15t+1)^(1/3) O y(t)=(1.5 t^2-15(t+1)^3+1)^(1/3)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Consider the following 1* order initial value problem:
t- 5
y' =
with y(0) = 1
(E)
Which of the following functions is a solution of (E)?
y(t)=(1.5(t+1)^3-15t+1)^(1/3)
y(t)=(1.5 (t+1)^2-15t+1)^(1/3)
y(t)=(1.5 t^2-15t+1)^(1/3)
y(t)=(1.5 t^2-15(t+1)^3+1)^(1/3)
Transcribed Image Text:Consider the following 1* order initial value problem: t- 5 y' = with y(0) = 1 (E) Which of the following functions is a solution of (E)? y(t)=(1.5(t+1)^3-15t+1)^(1/3) y(t)=(1.5 (t+1)^2-15t+1)^(1/3) y(t)=(1.5 t^2-15t+1)^(1/3) y(t)=(1.5 t^2-15(t+1)^3+1)^(1/3)
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