Solve. dy/dx = xy(1-y)

Glenn Hopkins 2022-07-31 Answered
Solve. dy/dx = xy(1-y)
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Answers (1)

ab8s1k28q
Answered 2022-08-01 Author has 17 answers
dy/dx = xy(1-y)
dy/[y(1-y)] = xdx
1 y ( 1 y ) d y = [ 1 y + 1 1 y ] d y = x d x
ln y ln ( 1 y ) = 1 2 x 2 + C
ln ( y 1 y ) = 1 2 x 2 + C
y 1 y = e x 2 2 + C = D e x 2 2
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