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(dy)/(dx)=e^(x+y)...

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

Text Solution

Verified by Experts

The correct Answer is:
`e^(x)+e^(-y)=c`
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Solve the differential equation (dy)/(dx)+1=e^(x+y)

Solve the following differential equations: (dy)/(dx)+1=e^(x+y)

Knowledge Check

  • General solution of (dy)/(dx)=e^(2x-y)+x^(3)e^(-y) is

    A
    `4e^(y)=2e^(2x)-x^(4)-x^(2)+c`
    B
    `4e^(y)=2e^(2x)+x^(4)-x^(2)+c`
    C
    `4e^(y)=2e^(2x)+x^(4)+c`
    D
    `4e^(x)=2e^(2y)-y^(4)-y^(2)+c`

  • The solution of (dy)/(dx)+y=e^(-x), y(0)=0 is

    A
    `y=e^(x)(x-1)`
    B
    `y=xe^(-x)`
    C
    `y=xe^(-x)+1`
    D
    `y=(x+1)e^(-x)`

  • The solution of (dy)/(dx)+y=e^(-x), y(0)=0 "is"

    A
    `y=e^(-x)(x-1)`
    B
    `y=xe^(x)`
    C
    `y=xe^(-x)+1`
    D
    `y=xe^(-x)`

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    (dy)/(dx)=(x+e^(x))/(y)

    (dy)/(dx)=(x+e^(2x))/(y)

    solution of differential equation (dy)/(dx)=(x+e^(x))/(y)

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