Let y=y(x) be the solution of the differ...

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

`-8/(9sqrt(3))pi^2`

`-8/9pi^2`

`-4/9pi^2`

`4/(9sqrt(3))pi^2`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

DIFFERENTIAL EQUATIONS
MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|14 Videos
DIFFERENTIAL EQUATIONS
MCGROW HILL PUBLICATION|Exercise EXERCISE Numerical Answer Type Questions|14 Videos
DIFFERENTIABILITY AND DIFFERENTIATION
MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos
ELLIPSE
MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|6 Videos

Similar Questions

Explore conceptually related problems

Let y=g(x) be the solution of the differential equation (sin(dy))/(dx)+y cos x=4x,x in(0,pi) If y(pi/2)=0,theny(pi/6)^(*) is equal to

Let y = y (x) be the solution of the differential equation xdy = (y + x^3 cos x)dx with y( pi ) = 0, then y ((pi)/(2)) is equal to

Let y = y (x) be the solution of the differential equation cos x (dy)/(dx) + 2y sin x = sin 2x , x in (0, pi/2) . If y(pi//3) = 0, " then " y(pi//4) is equal to :

Let y=y(x) be the solution of the differential equation (dy)/(dx)=2(y+2sinx-5)x-2cosx such that y(0)=7 . Then y(pi) is equal to

Let y(x) be the solution of the differential equation 2x^2dy + (e^y-2x)dx = 0, x>0. If y(e) = 1, then y(1) is equal to :

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

Let y=y(x) be the solution of the differential equation, dy/dx+y tan x=2x+x^(2)tanx, x in(-pi/2,pi/2), such that y(0)= 1. Then (a) y'(pi/4)-y'(-pi/4)=pi-sqrt 2 (b) y'(pi/4)+y'(-pi/4)=-sqrt 2 (c) y(pi/4)+y(-pi/4)=-pi^(2)/2+2. (d) y(pi/4)-y(-pi/4)=sqrt 2

If y= y(x), y in [0, (pi)/(2)) is the solution of the differential equation sec y (dy)/(dx)- sin (x+y) - sin (x-y)= 0 , with y(0)= 0, then 5y'((pi)/(2)) is equal to _____

MCGROW HILL PUBLICATION-DIFFERENTIAL EQUATIONS -Questions from Previous Years. AIEEE/JEE Main Papers

The genral solution if the differnetial equation sin2x((dy)/(dx)-sqrt(...
Text Solution
|
If (dy)/(dx)+ytanx=sin2x and y(0)=1", then "y(pi) is equal to
Text Solution
|
Let y(x) be the solution of the differential equation (xlogx)(dy)/(dx)...
Text Solution
|
The solution of the differential equation ydx-(x+2y^2)dy=0 is x=f(y). ...
Text Solution
|
If y(x) is the solution of the differential equation (x+2)(dy)/(dx)=x^...
Text Solution
|
For x inRR,x!=0 if y(x) is a differential function such that x int1^xy...
Text Solution
|
The solution of the differential equation dy/dx+y/2secx=tanx/(2y)," wh...
Text Solution
|
If a curve y=f(x) passes through the point (1, -1) and differential eq...
Text Solution
|
The curve satisftying the differential equation, ydx-(x+3y^2)dy=0 and ...
Text Solution
|
A tangent to the curve. Y=f(x) at P(x, y) meets x-axis at A and y-axis...
Text Solution
|
If (2+sinx)dy/dx+(y+1)cosx=0 andy(0)=1", then "y(pi/2) is equal to
Text Solution
|
The curve satisfying the differential equation (x^2-y^2)dx+2xydy=0 and...
Text Solution
|
Let y=y(x) be the solutio of the differential equation dy/dx+2y=f(x), ...
Text Solution
|
Let y=y(x) be the solution of the differential equation sinxdy/dx+ycos...
Text Solution
|
If dy/dx+3/cos^2xy=1/cos^2x,x((-pi)/3,pi/3), and y(pi/4)=4/3", then "y...
Text Solution
|
If y=y(x) is the solution of the differential equation xdy/dx+2y=x^2 s...
Text Solution
|
Let f:[0,1]rarrRR be such that f(xy)=f(x)f(y) for all x, y in [0,1] an...
Text Solution
|
The solution of the differential equation dy/dx=(x-y)^2, then y(1)=1, ...
Text Solution
|
The curve amongst the family of curves represented by the differential...
Text Solution
|
If y(x) is the solution of the differential equation dy/dx+(2x+1)/xy=e...
Text Solution
|