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
1

Transcribed Image Text:By solving the equation and examining the s
the singularities will depend on the initial condition as well as on the e
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 = 2t, y(1) = 2
2. y' + (tant) y = sint,
y(T) = 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) 1/23 SUR
6. y' =
7.
y' =
8. y' =
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
on the initial value yo.
In |ty|
1-1² + y²
(1² + y²) 3/2
1+1²
9. y' = -41/y,
10.
y' = 2ty²,
11. y'+y³ = 0,
1²
y(1+1³)'
12.
y =
y(0) = yo
y(0) = yo
y(0) = yo
y(0) = yo
In e
ske
how
dep
G
G
G
17
Ex
18
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