dx d) 2y'ex/2 + y = x

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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do question D

1.
Solve the first-order linear differential equations.
dy
a) x + 2y = 1−¹, x > 0
=,
dx
b)
sin x
x2
1
c) x + 2y = 1 - ² /
dy
dx
x
d) 2y' = ex/2² + y
e) xy' - y = 2x ln x
xy' + 3y :
=
,x > 0
Transcribed Image Text:1. Solve the first-order linear differential equations. dy a) x + 2y = 1−¹, x > 0 =, dx b) sin x x2 1 c) x + 2y = 1 - ² / dy dx x d) 2y' = ex/2² + y e) xy' - y = 2x ln x xy' + 3y : = ,x > 0
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