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

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Knowledge Check

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

    A
    `x(y+cosx)=sinx+c`
    B
    `x(y-cosx)=sinx+c`
    C
    `xycosx=sinx+c`
    D
    `x(y+cosx)=cosx+c`

  • 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`

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