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Question
Choose the correct alternative:
The variable separable form of `("d"y)/("d"x) = (y(x - y))/(x(x + y))` by taking y = vx and `("d"y)/("d"x) = "v" + x "dv"/("d"x)` is
Options
`(2"v"^2)/(1 +"v") "dv" = ("d"x)/x`
`(2"v"^2)/(1 +"v") "dv" = - ("d"x)/x`
`(2"v"^2)/(1 - "v") "dv" = ("d"x)/x`
`(1 + "v")/(2"v"^2) "dv" = - ("d"x)/x`
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Solution
`(1 + "v")/(2"v"^2) "dv" = - ("d"x)/x`
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