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Find the general solution of the followi...

Find the general solution of the following differential equation.
`(dy)/(dx)+y=e^(-x)`

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Knowledge Check

  • The general solution of the differential equation log ((dy)/(dx))=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) = 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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