The differential equation dy dt y • sin(t) is separable. In this case, g (y) = y and h (t) = sin(t). After dividing both sides by g (y) , which is correct? du = sin(t) = sin(t) y dt 1 dy = y sin(t) dt The differential equation # = 3 - 1 dy dt is separable. In this case, g (y) = y² – 1, and h (t) = 1. After dividing both sides by g (y), which of the following is correct? (1 – y²) =1 dy %3D dt dy = 1 y2-1 dt

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
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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The differential equation
dy
= y • sin(t)
dt
is separable.
In this case, g (y) = y and h (t) = sin(t).
After dividing both sides by g (y) , which is correct?
dy
= sin(t)
1 dy
y dt
sin(t)
1 dy
= Y
sin(t) dt
The differential equation
* = y? – 1
dt
is separable.
In this case, g (y) = y² – 1, and h (t) = 1.
After dividing both sides by g (y), which of the following is correct?
(1 – y²)
dy
= 1
dy
dy
= 1
2-1 dt
Transcribed Image Text:The differential equation dy = y • sin(t) dt is separable. In this case, g (y) = y and h (t) = sin(t). After dividing both sides by g (y) , which is correct? dy = sin(t) 1 dy y dt sin(t) 1 dy = Y sin(t) dt The differential equation * = y? – 1 dt is separable. In this case, g (y) = y² – 1, and h (t) = 1. After dividing both sides by g (y), which of the following is correct? (1 – y²) dy = 1 dy dy = 1 2-1 dt
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