Solve the following differential equation: ((ydx+xdy))/((1-x^2y^2))+xdx=0

Chaim Ferguson 2022-10-24 Answered
Solve the following differential equation: ( y d x + x d y ) ( 1 x 2 y 2 ) + x d x = 0
Is there any way I can get this into the form of a separable, Bernoulli, exact, or any other form of differential equation that is easy to solve?
Solve the following differential equation:
( y d x + x d y ) ( 1 x 2 y 2 ) + x d x = 0
can someone show me the procedure to simplify or convert this differential equation into a form that is easy to solve?
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Answers (2)

SoroAlcommai9
Answered 2022-10-25 Author has 13 answers
Hint:
Let x y = u and solve
d u 1 u 2 = x d x
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Taniya Melton
Answered 2022-10-26 Author has 5 answers
d ( x y 1 ( x y ) 2 + x d x = 0 1 2 ln 1 + x y 1 x y + x 2 2 = c ,   s o m e   c o n s t a n t
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