If dy/dx+3/cos^2xy=1/cos^2x,x in((-pi)/3...

If `dy/dx+3/cos^2xy=1/cos^2x,x in((-pi)/3,pi/3)and y(pi/4)=4/3," then "y(-pi/4)` equals

A

`1/3`

B

`1/3 + e^6`

C

`-4/3`

D

`1/3 + e^3`

Text Solution

Verified by Experts

The correct Answer is:

B

Topper's Solved these Questions

DIFFERENTIAL EQUATIONS
VMC MODULES ENGLISH|Exercise JEE ADVANCE (ARCHIVE )|32 Videos
DIFFERENTIAL EQUATIONS
VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|11 Videos
DIFFERENTIAL CALCULUS 2
VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|81 Videos
FUNCTIONS
VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos

Similar Questions

Explore conceptually related problems

If (dy)/(dx)+3/(cos^(2)x)y=1/(cos^(2)x),xin((-pi)/3,(pi)/3), and y((pi)/4)=4/3 , then y(-(pi)/4) equals 1/3+e^(k) . The value of k is __________.

Let y(x) be the solution of the differential equation (dy)/(dx)+(3y)/(cos^2x)=1/(cos^2x) and y(pi/4)=4/3 then vaue of y(-pi/4) is equal to (a) -4/3 (b) 1/3 (c) e^6+1/3 (d) 3

If y= y(x) is the solution of the differential equation dy/dx=(tan x-y) sec^(2)x, x in(-pi/2,pi/2), such that y (0)=0, than y(-pi/4) is equal to

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

If cos x (dy)/(dx)-y sin x = 6x, (0 lt x lt (pi)/(2)) and y((pi)/(3))=0 , then y((pi)/(6)) is equal to :-

If cos^2 2x+2cos^2x=1,\ x in (-pi,pi), then x can take the values : +-pi/2 (b) +-pi/4 +-(3pi)/4 (d) none of these

Prove that cos^2x+cos^2(x+pi/3)+cos^2(x-pi/3)=3/2 .

Solution of the equation cos^2x(dy)/(dx)-(tan2x)y=cos^4x , where |x|< pi/4 and y(pi/6)=(3sqrt(3))/8 is

Find (dy)/(dx)" for "y=sin^(-1) (cos x), x in (0, pi)cup (pi, 2pi).

If (cos^2x+1/(cos^2x)) (1+tan^2 2y)(3+sin3z)=4, then x is an integral multiple of pi x cannot be an even multiple of pi z is an integral multiple of pi y is an integral multiple of pi/2

VMC MODULES ENGLISH-DIFFERENTIAL EQUATIONS-JEE MAIN (ARCHIVE )

Let y=g(x) be the solution of the differential equation sin (dy)/(dx...
Text Solution
|
Let p (x) be a polynomial with real coefficient and p (x)=x^(2)+2x+1. ...
Text Solution
|
If y = y(x) is the solution of the differential equation, x dy/dx+2y=x...
Text Solution
|
Let f : [0, 1]toR be such that f(xy)=f(x)xxf(y) for all x, y in [0,1]"...
Text Solution
|
If dy/dx+3/cos^2xy=1/cos^2x,x in((-pi)/3,pi/3)and y(pi/4)=4/3," then "...
Text Solution
|
Let f be differentiable function such that f'(x)=7-3/4(f(x))/x,(xg...
Text Solution
|
The curve amongst the family of curves, represented by the differenti...
Text Solution
|
The solution of the differential equation dy/dx=(x-y)^2," when " y(1)=...
Text Solution
|
If y(x) is the solution of the differential equation ( dy )/( dx...
Text Solution
|
If a curve passes through the point (1, -2) and has slope of the tange...
Text Solution
|
Let y = y(x) be the solution of the differential equation x dy/dx+y=xl...
Text Solution
|
Let y=y(x)be the solution of the differential equation, (x^(2)+1)^(2)...
Text Solution
|
Given that the slope of the tangent to a curve y = f(x) at an...
Text Solution
|
If cos x (dy)/(dx) - y sin x = 6x, (0 lt x lt (pi)/(2)) and y ((pi)/(3...
Text Solution
|
The solution of the differential equation x(dy)/(dx) + 2y = x^...
Text Solution
|
Let y=y(x) be the solution of the differential equation, dy/dx+y tan...
Text Solution
|
If y=y(x) is the solution of the differential equation (dy)/(dx) =(tan...
Text Solution
|
Consider the differential equation, y^(2)dx+(x-1/y)dy=0. If value of y...
Text Solution
|
The general solution of the differential equation (y^(2)-x^(3))dx-xyd...
Text Solution
|
If a curve y=f(x) passes through the point (1,-1) and satisfies the di...
Text Solution
|