Problems
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
9
![Problems
In each of Problems 1 through 4, determine (without solving the
problem) an interval in which the solution of the given initial value
problem is certain to exist.
1.
(1-3) y' + (Int) y = 21, y(1) = 2
2. y' + (tant) y = sint,
y(π) = 0
3.
(4-1²) y' + 2ty = 3t², y(-3) = 1
4. (Int) y' + y = cott, y(2) = 3
In each of Problems 5 through 8, state where in the ty-plane the
hypotheses of Theorem 2.4.2 are satisfied.
5. y' = (1-₁² - y²) ¹1/216171810
6.
7.
8. y' =
9. y' = -4t/y,
10.
y' = 2ty²,
11. y' + y² = 0,
1²
y(1+1³)
In |ty|
y'
y² = ₁-1² + y²
y' = (1² + y²) 3/2
1+1²
3y - y²
In each of Problems 9 through 12, solve the given initial value problem
and determine how the interval in which the solution exists depends 18
on the initial value yo.
12.
y' =
y(0) = yo
as we ell as on the dif
y(0) = yo
y(0) = yo
y(0) = yo
In ear
sketc
how
depe
G
G
G
17.
Exa](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a7ff92b-aaf2-49cd-b8f0-bf0b51ac636e%2F437bca0c-dc0e-4624-89db-2ddab565afb1%2F1515rd8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problems
In each of Problems 1 through 4, determine (without solving the
problem) an interval in which the solution of the given initial value
problem is certain to exist.
1.
(1-3) y' + (Int) y = 21, y(1) = 2
2. y' + (tant) y = sint,
y(π) = 0
3.
(4-1²) y' + 2ty = 3t², y(-3) = 1
4. (Int) y' + y = cott, y(2) = 3
In each of Problems 5 through 8, state where in the ty-plane the
hypotheses of Theorem 2.4.2 are satisfied.
5. y' = (1-₁² - y²) ¹1/216171810
6.
7.
8. y' =
9. y' = -4t/y,
10.
y' = 2ty²,
11. y' + y² = 0,
1²
y(1+1³)
In |ty|
y'
y² = ₁-1² + y²
y' = (1² + y²) 3/2
1+1²
3y - y²
In each of Problems 9 through 12, solve the given initial value problem
and determine how the interval in which the solution exists depends 18
on the initial value yo.
12.
y' =
y(0) = yo
as we ell as on the dif
y(0) = yo
y(0) = yo
y(0) = yo
In ear
sketc
how
depe
G
G
G
17.
Exa
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