(2xy + 2)dx + (3x°y +2y¯1)dy = 0 An implicit solution in the form F(x,y) = C is: =C, where C is an arbitrary constant, and by multiplying by the integrating factor. (Type an expression using x and y as the variables.) the solution x=0 was lost no solutions were lost -0wee loet

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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please also answer if a solution has been gained by multiplying by the the integrating factor 

Solve the equation.
(2xy .
+ 2)dx +
(3x²y² + 2y¯1 )dy = 0
An implicit solution in the form F(x,y) = C is =C, where C is an arbitrary constant, and
by multiplying by the integrating factor.
(Type an expression using x and y as the variables.)
the solution x=0 was lost
no solutions were lost
the solution y=0 was lost
Transcribed Image Text:Solve the equation. (2xy . + 2)dx + (3x²y² + 2y¯1 )dy = 0 An implicit solution in the form F(x,y) = C is =C, where C is an arbitrary constant, and by multiplying by the integrating factor. (Type an expression using x and y as the variables.) the solution x=0 was lost no solutions were lost the solution y=0 was lost
Find an integrating factor of the form x"y and solve the equation.
(3xy° – 8y² )dx + (4x²y? - 12xy)dy = 0
An implicit solution in the form F(x,y) = C is= C, where C is an arbitrary constant, and
by multiplying by the integrating factor.
(Type an expression using x and y as the variables.)
the solution y = 0 was lost
the solution x = 0 was lost
no solutions were lost
Transcribed Image Text:Find an integrating factor of the form x"y and solve the equation. (3xy° – 8y² )dx + (4x²y? - 12xy)dy = 0 An implicit solution in the form F(x,y) = C is= C, where C is an arbitrary constant, and by multiplying by the integrating factor. (Type an expression using x and y as the variables.) the solution y = 0 was lost the solution x = 0 was lost no solutions were lost
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