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The solution of xdy+ydx+2x^(3)dx=0 is...

The solution of `xdy+ydx+2x^(3)dx=0` is

A

`xy+x^(4)=c`

B

`xy+(1)/(2)x^(4)=c`

C

`(x^(2))/(y)+(x^(4))/(4)=c`

D

None of these

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The general solution of the differential equation e^(x)dy + (ye^(x) + 2x)dx=0 is:

    A
    `xe^(y) + x^(2) =c`
    B
    `xe^(y) + y^(2) =c`
    C
    `ye^(x) +x^(2) =c`
    D
    `ye^(y) + x^(2) =c`

  • The general solution of the differential equation e^(x)dy + (ye^(x) + 2x)dx=0 is:

    A
    `xe^(y) + x^(2) =c`
    B
    `xe^(y) + y^(2) =c`
    C
    `ye^(x) +x^(2) =c`
    D
    `ye^(y) + x^(2) =c`

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