Consider the following differential equation, To solve this differential equation, we must first use a Bernoulli substitution, namely u(t) = [y(t)]P, where p = Ou' (t) After undergoing the substitution from above, we will be left with which of the following first-order linear differential equations? O u' (t) + 4u(t) = -20 u' (t) Ou' (t) + Ou' (t) + 4u(t) t u(t) 4t 4u(t) t u(t) 4t = 20 5 4 v' (t) - ³(t) = 5(y(t)]5. y' t = -20 5 4 Number
Consider the following differential equation, To solve this differential equation, we must first use a Bernoulli substitution, namely u(t) = [y(t)]P, where p = Ou' (t) After undergoing the substitution from above, we will be left with which of the following first-order linear differential equations? O u' (t) + 4u(t) = -20 u' (t) Ou' (t) + Ou' (t) + 4u(t) t u(t) 4t 4u(t) t u(t) 4t = 20 5 4 v' (t) - ³(t) = 5(y(t)]5. y' t = -20 5 4 Number
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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![Consider the following differential equation,
O u' (t) -
Ou' (t) +
To solve this differential equation, we must first use a Bernoulli substitution, namely u(t) = [y(t)]P, where p =
Ou' (t) +
4u(t)
t
After undergoing the substitution from above, we will be left with which of the following first-order linear differential equations?
○ u' (t) + 4u(t) = -20
○ u' (t)
u(t)
4t
4u(t)
t
u(t)
4t
= 20
=
y' (t) -
4
y(t)
= -20
=
5[y(t)]5 .
Number](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ac25093-6115-4fa9-90b9-24bfeff9809b%2F301ef536-9fa5-42b5-b97f-bbc0e7ecb993%2F7c2dsco_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the following differential equation,
O u' (t) -
Ou' (t) +
To solve this differential equation, we must first use a Bernoulli substitution, namely u(t) = [y(t)]P, where p =
Ou' (t) +
4u(t)
t
After undergoing the substitution from above, we will be left with which of the following first-order linear differential equations?
○ u' (t) + 4u(t) = -20
○ u' (t)
u(t)
4t
4u(t)
t
u(t)
4t
= 20
=
y' (t) -
4
y(t)
= -20
=
5[y(t)]5 .
Number
Transcribed Image Text:Assuming that y(1) = 1, what is the solution to this differential equation?
t
y(t) =
=
t
。 *(1)-(₁-'45)*
y(t) =
5+415).
(5 + 4t5)1/4
t
y(t) =
(1)-(₁-45)*
y(t) =
=
t
(5-4t5)1/4
O None of the above
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