Consider the exact first order diff. equ: JM(x,y) = 2.xy- 3.x² N(x, y) = x² – 2y (I): (2.xy- 3x)dx + (x² - 2y)dy = 0 , where: the general solution of the diff. equ. (I) in the implicit form is: (а) — ху + y + 7xy = |(b) x²y + y° + y° =c (c) x²y-x - y? (d) ye* + ye* = (е) — ху 3D с = C (S) x*y-x² - y = c (g)- e* le3x + In(xy) = c (h) None of these 4 Choose the right answer O (d) O (h) O (c) O (a) O (e) O (b) (8) C O (f)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 1E
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Question 5
Consider the exact first order diff. equ:
|M(x,y) = 2xy- 3x²
N(x, y) = x² - 2y
(I): (2xy – 3x )dx + (x – 2 y)dy = 0 ,
where:
the general solution of the diff. equ. (I) in the implicit form is:
|(a)
3
y +7xy2 =
(b) x*y+ y° + y* =c
- xy +
= C
(c) x*y-x'-
(d) ye* + ye* :
(е) — ху %3D с
y = c
= C
() x*y-x* - y= c (8) - e*-
(g)
3.x
+ In(xy) = c
|(h) None of these
Choose the right answer
O (d)
O (h)
O (c)
O (a)
(e)
O (b)
O (g)
O (f)
Transcribed Image Text:Question 5 Consider the exact first order diff. equ: |M(x,y) = 2xy- 3x² N(x, y) = x² - 2y (I): (2xy – 3x )dx + (x – 2 y)dy = 0 , where: the general solution of the diff. equ. (I) in the implicit form is: |(a) 3 y +7xy2 = (b) x*y+ y° + y* =c - xy + = C (c) x*y-x'- (d) ye* + ye* : (е) — ху %3D с y = c = C () x*y-x* - y= c (8) - e*- (g) 3.x + In(xy) = c |(h) None of these Choose the right answer O (d) O (h) O (c) O (a) (e) O (b) O (g) O (f)
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