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The general solution of the differential...

The general solution of the differential equation `(dy)/(dx)+1="cosec"(x+y)` is -

A

`cos(x+y)+c=0`

B

`sin(x+y)+x+c=0`

C

`cos(x+y)+x+c=0`

D

`x-sin(x+y)+c=0`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The general solution of the differential equation (dy)/(dx) = e^(x + y) is

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

  • The general solution of the differential equation (dy)/(dx)=2^(y-x) is -

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

  • The general solution of the differential equation (x+y)dx+xdy=0 is -

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

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