If y = ae ^(nx) + be ^(-nx) then y (2)=...

If `y = ae ^(nx) + be ^(-nx)` then `y _(2)=`

`n^(2)`

`n`

`n^(2)y`

none

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 xy = ae ^(x) + be^(-x) then xy _(2) + 2y _(1) - xy =

y = ae^(3x) + be^(-2x)

If y = ae ^(-bx) cos (cx +d) then y _(2) + 2by_(1) + (b ^(2) +c ^(2)) y =

If y= ae^(nx)+be^(-nx),then (d^2y)/(dx^2)-n^2y is equal to

If y=ae^(nx)+be^(-nx) , then prove that y''=n^(2)y .

If y = ae^(x) + be^(-x) + c , where a, b, c are parameters, then y'' is equal to

If y = ae ^(- bx) cos (cx -d ) show that y _(1) + 2 by _(1) + (b^(2) + c ^(2)) y=0

Form the differential equations of the following families of curves by elimnating the parameters (arbitrary constants) given against them in the brackets. (i) y = c(x-c)^(2), (c) (ii) xy = a e^(x) + b e^(-x), (a, b) (iii) y = (a+bx)e^(Kx), (a,b) (iv) y = a cos (nx + b), (a,b) (v) = y = a e^(3x) + be^(4x), (a,b) (vi) y = ax^(2) + bx, (a,b) (vii) ax^(2) + by^(2) = 1 (a,b)

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

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
|
If y ^(2) = 4ax then 4a^2 (1+ y(1) ^(2)) ^(3//2) + (y ^(2) + 4a ^(2))...
Text Solution
|
If x ^(2) + 5xy + y^(2) =-2x + y -6=0 then y'' at (1,1) is
Text Solution
|
If sqrtx+ sqrty = sqrta then y (2)+ (1+ y(1)) ^(3) y =
Text Solution
|
If y = sin (x + y) then y (2) + (1+ y (1)) ^(3) y =
Text Solution
|