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If y=y(x) be the solution of differentia...

If `y=y(x)` be the solution of differential equation `dy/dx +tanx*y=sinx`. If `y(0)=0` Then `y(pi/4)= ?`

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Knowledge Check

  • The solution of the differential equation 9y"dy"/"dx"+4x=0 is

    A
    `y^2/9+x^2/4=c`
    B
    `y^2/4+x^2/9=c `
    C
    `y^2/9-x^2/4=c`
    D
    `y^2/4-x^2/9=c `

  • What is the solution of the differential equation (dy)/(dx)+ y/x =0 ?

    A
    xy=c
    B
    x =cy
    C
    y =cx
    D
    none of the above

  • The solution of the differential equation (dx)/x +(dy)/y = 0 is

    A
    xy=C
    B
    `x+y=C`
    C
    `log x log y=C`
    D
    `x^(2)+y^(2)=C`

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    Let y=y(x) be the solution of the differential equation sinxdy/dx+ycosx=4x,x in(0,pi) . If y(pi/2)=0 , then y(pi/6) is equal to

    What is the solution of the differential equation (dy)/(dx) + (y)/(x) = 0 ?

    The solution of the differential equation x (dy)/(dx) - y + x sin (y/x) = 0 is

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