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Solution of the differential equation (x...

Solution of the differential equation `(x^(2)+3xy+y^(2))dx-x^(2)dy=0` is

A

`(x+y)/(x)-log|x|=c`

B

`(x+y)/(x)+log|x|=c`

C

`(x)/(x+y)-log|x|=c`

D

`(x)/(x+y)+log|x|=c`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • The solution of the differential equation (2x^(2) +2 y^(2))dx- 4xy dy= 0 is

    A
    `(x)/(x^(2)+y^(2))=c`
    B
    `(x^(2) + y^(2))/(x)=c`
    C
    `(y^(2)-x^(2))/(x)=c`
    D
    `(x^(2)-y^(2))/(x)=c`

  • Solution of the differential equation (x^(2)-y^(2))dx-2xy dy=0 is

    A
    `x^(2)-y^(2)=cx`
    B
    `x^(2)+y^(2)=cx`
    C
    `x^(2)-y^(2)=c`
    D
    `x^(2)+y^(2)=c`

  • Solution of the differential equation (x^(2)-y^(2))dx+2xy dy=0 is

    A
    `x^(2)-y^(2)=cx`
    B
    `x^(2)+y^(2)=cx`
    C
    `x^(2)-y^(2)=cx^(2)`
    D
    `x^(2)+y^(2)=cx^(2)`

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