In Exercises 7–12, write an equivalent first-order differential equation and initial condition for y. 7. y = -1 + (t – y(t)) dt (1 + y(t)) sin t dt 9. y = 2 – tei) dt 11. у 3D х + 4 + 10. y = 1 + y(1) dt 12. y = In x + / V² + (y(t))² dt

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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In Exercises 7–12, write an equivalent first-order differential equation
and initial condition for y.
7. y = -1 +
(t – y(t)) dt
(1 + y(t)) sin t dt
9. y = 2 –
tei) dt
11. у 3D х + 4 +
10. y = 1 +
y(1) dt
12. y = In x + / V² + (y(t))² dt
Transcribed Image Text:In Exercises 7–12, write an equivalent first-order differential equation and initial condition for y. 7. y = -1 + (t – y(t)) dt (1 + y(t)) sin t dt 9. y = 2 – tei) dt 11. у 3D х + 4 + 10. y = 1 + y(1) dt 12. y = In x + / V² + (y(t))² dt
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