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Question
Choose the correct alternative.
The solution of `x dy/dx = y` log y is
Options
y = aex
y = be2x
y = be-2x
y = eax
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Solution
The solution of `x dy/dx = y` log y is y = eax
`x dy/dx = y` log y
∴ `dy/(ylogy) = dx/x`
Integrating on both sides, we get
`int dy/(y logy) = int 1/x dx`
∴ log log(y)= log x + log a
∴ log log(y)= log xa
∴ log(y)= ax
∴ y = eax
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