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The general solution of differential equ...

The general solution of differential equation `y dx-x dy=0` is y=cx.

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True or false: The general solution of the differential equation (dy)/(dx)-y=0 is y=Ce^-x .

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Knowledge Check

  • The general solution of differential equation y dy + x dx = 0 is

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

  • Choose the correct option in the question : The general solution of the differential equation (y dx - x dy )/(y) = 0 is

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

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

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

    • Similar Questions

    Explore conceptually related problems

    The general solution of the differential equation (y dx - x dy)/y = 0 is:

    True or false: The general solution of the differential equations (dy)/(dx)+y=0 is y=Ce^x

    The general solution of differential equation : dy/dx = e^(x + y) is equal to :

    The general solution of differential equation : dy/dx = e^(x - y) is equal to :

    The general solution of differential equation (dy)/(dx)=e^(x-y) is equal to

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