Which of the following is the general solution of the differential equation (6xy^3 + 2y^4)dx + (9x^2y^2 + 8xy^3)dy = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Which of the following is the
general solution of the differential
equation (6xy^3 + 2y^4) dx +
(9x^2y^2 + 8xy^3)dy = 0
O
3x^3y^2 + 2xy^4 = c
3x^2y^3 + 2x^4y = c
3x^2y^3 - 2xy^4 = c
3x^2y^3 + 2xy^4 = c
2x^2y^3 - 3xy^4 = c
2x^2y^3 + 3xy^4 = c
None of the given choices
Transcribed Image Text:Which of the following is the general solution of the differential equation (6xy^3 + 2y^4) dx + (9x^2y^2 + 8xy^3)dy = 0 O 3x^3y^2 + 2xy^4 = c 3x^2y^3 + 2x^4y = c 3x^2y^3 - 2xy^4 = c 3x^2y^3 + 2xy^4 = c 2x^2y^3 - 3xy^4 = c 2x^2y^3 + 3xy^4 = c None of the given choices
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