Differential EquationHard
Question
A solution of the differential equation (x2y2 - 1)dy + 2xy3dx = 0 is
Options
A.1 + x2y2 = cx
B.1 + x2y2 = cy
C.y = 0
D.y = - 
Solution
(x2y2 - 1)dy + 2xy3dx = 0
x2y2dy + 2xy3dx = dy
or x2 dy + 2xydx =
d(x2 y) =
integrating
x2y = -
+ c
x2y2 + 1 = cy
y = 0 is also a solution.
x2y2dy + 2xy3dx = dy
or x2 dy + 2xydx =
d(x2 y) =
integrating
x2y = -
+ cx2y2 + 1 = cy
y = 0 is also a solution.
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