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In each of the Exercises 1 to 10 vrify t...

In each of the Exercises 1 to 10 vrify that the given functions(explicit or implicit) is a solution of the corresponding differential equation :
1. `y = e^(x) + 1 : y'' - y' = 0`

Answer

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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 solution of the differential equation (dy)/(dx)=e^(x-y)+1 is -

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

    • Similar Questions

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    Find the differentiation of y=e^x/(e^x+1)

    The general solution of the differential equation e^(x) dy + (y e^(x) + 2x)dx = 0 is

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