Cos^(-1) ((y)/(b)) =2 log "" ((x)/(2)) ,...

`Cos^(-1) ((y)/(b)) =2 log "" ((x)/(2)) , x gt 0 implies x ^(2) (a ^(2) y)/(dx ^(2)) + x (dy )/(dx) =`

`-4y`

`-8y`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

DIFFERENTIATION
DIPTI PUBLICATION ( AP EAMET)|Exercise SET-2|4 Videos
DIFFERENTIATION
DIPTI PUBLICATION ( AP EAMET)|Exercise SET-3|5 Videos
DIFFERENTIATION
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|3 Videos
DIFFERENTIAL EQUATIONS
DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos
DIRECTION COSINES AND DIRECTION RATIOS
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET -2|3 Videos

Similar Questions

Explore conceptually related problems

If y = sin (log _(e) x) then (x ^(2) (d ^(2) y)/(dx ^(2)) +x (dy )/(dx)=

y = Sin ^(-1) x implies ( 1- x ^(2)) (d ^(2) y)/(dx ^(2)) =

x = cos theta, y = sin 5 theta implies (1- x ^(2)) (d^(2)y)/(dx ^(2)) -x (dy)/(dx) =

If (x ^(2))/(a ^(2)) - (y ^(2))/(b ^(2)) =1 then (dy)/(dx)=

x ^(y) =y ^(x) implies x ( x-y log x ) (dy)/(dx) =

If y= sin^(-1)x , show that (1-x^(2)) (d^(2)y)/(dx^(2))-x(dy)/(dx)0 .

Find the order and degree, if defined, of each of the following differential equations: (i) (dy)/(dx) - cos x = 0 (ii) xy (d^(2)y)/(dx^(2)) + x((dy)/(dx))^(2) - y (dy)/(dx) = 0 (iii) y''' + y^(2) + e^(y)' = 0

sqrt((y)/( x))+ sqrt((x)/(y))= 2 implies (dy)/(dx) =

If y = "cos^(-1)((2x)/(1 + x^2)) , then (dy)/(dx) is

DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIATION -EXERCISE 1D

If y = sin (log (e) x) then (x ^(2) (d ^(2) y)/(dx ^(2)) +x (dy )/(dx)...
Text Solution
|
If y =a cos (log x) + b sin (log x) then x ^(2) y (2) + xy (1)+y=
Text Solution
|
Cos^(-1) ((y)/(b)) =2 log "" ((x)/(2)) , x gt 0 implies x ^(2) (a ^(2)...
Text Solution
|
If y sqrt(1+ x ^(2)) = log ( x + sqrt( 1 + x ^(2))) then (1 + x ^(2))...
Text Solution
|
If y = ae ^(-bx) cos (cx +d) then y (2) + 2by(1) + (b ^(2) +c ^(2)) y...
Text Solution
|
If y = ax ^(n+1)+ bx ^(-n) then x ^(2) y (2) =
Text Solution
|
If y = ae ^(nx) + be ^(-nx) then y (2)=
Text Solution
|
If y = e ^(-kx //2) (a cos nx + b sin nx) then y (2)+ky(1)+ (n^(2) + k...
Text Solution
|
If y =a cos (sin x) + b sin (sin x) then y (2) + (tan x) y(1)=
Text Solution
|
f (x) = 10 cos x + (13 + 2x) sin x implies f''(x) + f(x) =
Text Solution
|
If ay ^(4) = (x+ b) ^(5) then 5 y y(2)=
Text Solution
|
If ax ^(2) + by ^(2) =c, then y (2) =
Text Solution
|
If x ^(2) + xy + y ^(2) = a ^(2), then y (2) =
Text Solution
|
If x ^(3) + y ^(3) = 3axy then y (2) =
Text Solution
|
If y ^(2) = (x-a)(x-b)then ( d ^(3))/(dx ^(3)) [((d ^(2) y)/(dx ^(2))^...
Text Solution
|
If x ^(3) + y^(3) = 3ax ^(2) then y (2)=
Text Solution
|
If y ^(2) = a ^(2) cos ^(2) x + b b^(2) sin ^(2) x then y + y (2)=
Text Solution
|
If ax ^(2) + 2hxy + by ^(2) =1 then (hx + by) ^(3) y (2) =
Text Solution
|
If x ^(3) - 3ax ^(2) + y ^(3) =0then y ^(5) y (2) =
Text Solution
|
If x ^(2) + y ^(2) =a ^(2) then ((1+ y (1) ^(2))^(3//2))/(|y(2)|)=
Text Solution
|