general solution of the differential equation (6xy^3+2y^4)dx+ (9x^2y^2+8xy^3)dy-0. Use the substitution w=y/x A. Inkx | + 2/2 In 1 2 | + + In | 3x + 24 | = ² X V5 Y5 B. In | x Vs y ³5 (3x + 24) ¹³5 | = C Ys In |× (2) ³5 ( 3x + ³4 ) X | = c C x O A only B only O Conly O A and B only O A and C only

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Which of the following is a
general solution of the differential
equation (6xy^3+2y^4)dx+
(9x^2y^2+8xy^3)dy-0. Use the
substitution w=y/x
A. In/x1 + 2/ In | 2 | + — In | 3x + 24 | = ₁
X
3/5
B. In | x Vs y ³5 (3x + 2y) ²5 | = C
In | x (1) ³5 ( 3x + 24 ) X² | = c
C
A only
B only
O Conly
A and B only
A and C only
B and C only
O A, B and C
O None of the choices given
//
Transcribed Image Text:Which of the following is a general solution of the differential equation (6xy^3+2y^4)dx+ (9x^2y^2+8xy^3)dy-0. Use the substitution w=y/x A. In/x1 + 2/ In | 2 | + — In | 3x + 24 | = ₁ X 3/5 B. In | x Vs y ³5 (3x + 2y) ²5 | = C In | x (1) ³5 ( 3x + 24 ) X² | = c C A only B only O Conly A and B only A and C only B and C only O A, B and C O None of the choices given //
Which of the following is a
general solution of the differential
equation y'=xy^3-xy.
{[(y-1)(y+1)] ¹/2
y
A. In
B. In
c. In | (4-1) (141) 12.
g+¹1) | ³/² - 1/2 x ² = C
C.
A only
B only
C only
A and B only
A and C only
B and C only
A, B and C
1x² =
=C
O None of the choices given
= C
Transcribed Image Text:Which of the following is a general solution of the differential equation y'=xy^3-xy. {[(y-1)(y+1)] ¹/2 y A. In B. In c. In | (4-1) (141) 12. g+¹1) | ³/² - 1/2 x ² = C C. A only B only C only A and B only A and C only B and C only A, B and C 1x² = =C O None of the choices given = C
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