Find an integrating factor of the form xy and solve the equation. (2y³ - 12xy²)dx + (4xy² - 12x²y)dy = 0 An implicit solution in the form F(x,y) = C is = C, where C is an arbitrary constant, and (Type an expression using x and y as the variables.) (...) by multiplying by the integrating factor.

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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Find an integrating factor of the form x^ym and solve the equation.
(2y³ - 12xy2)dx + (4xy² - 12x²y)dy = 0
An implicit solution in the form F(x,y) = C is = C, where C is an arbitrary constant, and
(Type an expression using x and y as the variables.)
by multiplying by the integrating factor.
no solutions were lost
the solution y=0 was lost
C
the solution x = 0 was lost
Transcribed Image Text:Find an integrating factor of the form x^ym and solve the equation. (2y³ - 12xy2)dx + (4xy² - 12x²y)dy = 0 An implicit solution in the form F(x,y) = C is = C, where C is an arbitrary constant, and (Type an expression using x and y as the variables.) by multiplying by the integrating factor. no solutions were lost the solution y=0 was lost C the solution x = 0 was lost
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