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Solution of the differential equation x(...

Solution of the differential equation `x("dy"/"dx")^2 + 2 sqrt(xy) "dy"/"dx"+y=0` is

A

x + y= a

B

`sqrtx-sqrty=sqrta`

C

`sqrtx+sqrty+sqrta`

D

`x^2+y^2=a^2`

Text Solution

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The correct Answer is:
C
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Knowledge Check

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

    A
    `x+y=a`
    B
    `sqrtx-sqrty=a`
    C
    `x^(2)+y^(2)=a^(2)`
    D
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  • Solution of the differential equation (y+x(dy)/(dx))sin(xy)=cosx is

    A
    sinx+cos(xy)=c
    B
    sinx-cos(xy)=c
    C
    cosx+sin(xy)=c
    D
    cosx-sin(xy)=c

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

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

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