Obtain the General Solution of the following differential equations. 1. x²y y' = ey 2. (xy + x)dx = (x²y² + x² + y² + 1)dy

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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Answers:
1.
1
x
or
1
y
-2 -2 =
ey
ey
-
2.y-
-2/2/2+
e-(1+y) + x¹ = c
x−¹
C
· + ln
√x²+1
(y+1)²|
= C
Transcribed Image Text:Answers: 1. 1 x or 1 y -2 -2 = ey ey - 2.y- -2/2/2+ e-(1+y) + x¹ = c x−¹ C · + ln √x²+1 (y+1)²| = C
Obtain the General Solution of the
following differential equations.
1. x²y y' = ey
2. (xy + x)dx = (x²y² + x² + y² + 1)dy
Transcribed Image Text:Obtain the General Solution of the following differential equations. 1. x²y y' = ey 2. (xy + x)dx = (x²y² + x² + y² + 1)dy
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