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The general solution of the differential...

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

A

`e^(y)=e^(x)-e^(-x)+c`

B

`e^(-y)=e^(-x)-e^(x)+c`

C

`e^(-y)=e^(x)+e^(-x)+c`

D

`e^(-y)=e^(x)+e^(-x)+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 (y dx - x dy)/(y ) = 0 is

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

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