dy 1. 5y dx %3D

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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Homework Linear Ist-order DE
Page
38
In Problems 1–24 find the general solution of the given dif-
ferential equation. Give the largest interval I over which the
general solution is defined. Determine whether there are any
transient terms in the general solution.
dy
dy
2.
+ 2y = 0
dx
1.
5y
dx
dy
dy
4.
+ 12y = 4
dx
3.
+y= e3x
%3D
dx
5. y' + 3x²y = x²
6. y' + 2xy = x³
8. y' = 2y + x² + 5
7. x²y' + xy = 1
dy
dy
10. х
+ 2y = 3
- y = x²sin x
dx
9. х-
dx
38
Transcribed Image Text:Homework Linear Ist-order DE Page 38 In Problems 1–24 find the general solution of the given dif- ferential equation. Give the largest interval I over which the general solution is defined. Determine whether there are any transient terms in the general solution. dy dy 2. + 2y = 0 dx 1. 5y dx dy dy 4. + 12y = 4 dx 3. +y= e3x %3D dx 5. y' + 3x²y = x² 6. y' + 2xy = x³ 8. y' = 2y + x² + 5 7. x²y' + xy = 1 dy dy 10. х + 2y = 3 - y = x²sin x dx 9. х- dx 38
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