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Solve the below If sec((x+y)/(x-y))=a^(...

Solve the below If `sec((x+y)/(x-y))=a^(2)`, then `(dy)/(dx)=`

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If sec((x+y)/(x-y))=a, prove that (dy)/(dx)=(y)/(x)

Solve (dy)/(dx)-y= x

Knowledge Check

  • If y=sec x^(@) , then (dy)/(dx)=

    A
    sec x tan x
    B
    `sec x^(@) tan x^(@)`
    C
    `pi/180 sec x^(@) tan x^(@)`
    D
    `180/pi sec x^(@) tan x^(@)`
  • If y=(2x)^(sec x) +(tan x)^(x) ,then(dy)/(dx)=

    A
    ` (2x)^(secx) secx ((1)/(x) +tan xlog (2x)) +2(secx )^(2x) (xtan x+log(sec x)) `
    B
    ` (2x)^(secx) secx ((1)/(x) +tan xlog (2x)) +2(secx )^(2x) (tan x+log(sec x)) `
    C
    ` (2x)^(secx) secx ((1)/(x) +tan xlog (2x)) +(secx )^(2x) (xtan x+log(sec x)) `
    D
    ` (2x)^(secx) secx ((1)/(x) +tan xlog (2x)) +(secx )^(2x) (tan x+log(sec x)) `
  • If y=(xtan x ) ^(sec x),then (dy)/(dx) =

    A
    ` ysec x((1)/(x)-2cosec 2x -(tan x )log (xtan x ))`
    B
    ` ysec x((1)/(x)+2cosec 2x + (tan x )log (xtan x ))`
    C
    ` ysec x((1)/(x)-2cosec 2x + (tan x )log (xtan x ))`
    D
    ` ysec x((1)/(x)+2cosec 2x - (tan x )log (xtan x ))`
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    Solve y-x(dy)/(dx)=a(y^(2)+(dy)/(dx))

    Solve: (dy)/(dx)=sec y

    x(dy)/(dx)-y=2x^(2)sec x

    Solve the equation (dy)/(dx)=(y)/(x)-(y^(2))/(x^(2))