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Find the general solution of the differential equations `e^xtanydx+(1-e^x)sec^2ydy=0`

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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 e^(x)dy + (ye^(x)+2x) dx =0 is

    A
    `xe^(y)+x^(2)=c`
    B
    `xe^(y)+y^(2)=c`
    C
    `ye^(x)+x^(2)=c`
    D
    `ye^(y)+x^(2)=c`

  • The general solution of the differential equation dy/dx = e^(x^(2)/2)+xy is

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

    • Similar Questions

    Explore conceptually related problems

    Find the general solution of the differential equation ydx-(x+2y^(2))dy=0

    Find the general solution of the differential equation xdy/dx+2y=x^(2)logx .

    Find the general solution of the differential equation (dy)/(dx) -2 y = cosx.

    The general solution of the differential equation (ydx-xdy)/y =0 is

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

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