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If (dy)/(dx)-xtan(y-x)=1,y(0)=(pi)/(2) t...

If `(dy)/(dx)-xtan(y-x)=1,y(0)=(pi)/(2)` then the value of `sin{y(4)-4}e^(-8)` is

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Knowledge Check

  • If sin^(-1)x+sin^(-1)y=(pi)/(2) , then the value of (dy)/(dx) is -

    A
    `(x)/(y)`
    B
    `-(x)/(y)`
    C
    `(y)/(x)`
    D
    `-(y)/(x)`

  • If siny=x sin(a+y) , then the value of (dy)/(dx) is -

    A
    `sin(a+y)`
    B
    `(sin^(2)(a+y))/(sina)`
    C
    `(sin^(2)(a+y))/(cos a)`
    D
    `(sin^(2)(a+y))/(sin y)`

  • If x^(2)+y^(2)=t+(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2)) , then the value of -x^(3)y(dy)/(dx) is -

    A
    1
    B
    `(1)/(2)`
    C
    `(1)/(3)`
    D
    `(1)/(4)`

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

    If x sin y+y cos x=pi , then the value of y''(0) is -

    If y= sin (( pi)/(6)e^(xy)) , then the value of (dy)/(dx) at x=0 is -

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