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Solution of the equation x (dy)/(dx) = y...

Solution of the equation `x (dy)/(dx) = y log y ` is

A

`y = ae ^(x)`

B

`y = be ^(2x)`

C

`y = be ^(-2x)`

D

`y = e ^(ax) `

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The general solution of the equation, x((dy)/(dx)) = y ln (y/x) is

    A
    `y = xe^(1-cx)`
    B
    `y = xe^(1+cx)`
    C
    `y = xe.e^(cx)`
    D
    `y = xe^(cx)`

  • The Solution of the equation x(dy)/(dx)+2y=x^(2)log x is

    A
    `y=(x^(2))/(4)log x +x^(2)+cx^(2)`
    B
    `y=(x^(2))/(4) log x +(x^(2))/(4)+c x^(-2)`
    C
    `y=(x^(2))/(4)log x -(x^(2))/(16)+cx^(-2)`
    D
    None of these

  • The Solution of the equation x log x (dy)/(dx) +y = 2 log x is

    A
    `y=log x +(c )/(log x)`
    B
    `y=log x -(c )/(log x)`
    C
    `y=log x -c log x`
    D
    None of these

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