Home
Class 12
MATHS
For the following question, choose the c...

For the following question, choose the correct answer from the codes (a),(b),( c ) and (d) follows
Let a solution y=y(x) of the differential equation `xsqrt(x^(2)-1)dy-ysqrt(y^(2)-1)dx=0` satisfy y(2)=`(2)/(sqrt3)`
Statement I y(x) = sec `(sec^(-1)x-(pi)/(6))` and
Statement II y(x) is given by `(1)/(y)=(2sqrt3)/(x)-sqrt(1-(1)/(x^(2)))`

A

A) Statement I is true, Statement II is also true, Statement II is the correct explanation of Statement I.

B

B) Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I.

C

C) Statement I is true, Statement II is false.

D

D) Statement I is false, Statement II is true.

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

The solution of the differential equation (y+xsqrt(xy)(x+y))dx+(ysqrtxy(x+y)-x)dy=0

Solution of the differential equation (1+e^(x/y))dx + e^(x/y)(1-x/y)dy=0 is

Solution of the differential equation (xdy)/(x^(2)+y^(2))=((y)/(x^(2)+y^(2))-1)dx , is

Find the general solution of the differential equation (dy)/(dx) + sqrt((1 - y^(2))/(1 - x^(2))) = 0 .

Solve the differential equation (dy)/(dx)=(x+2y-1)/(x+2y+1).

Solve the inequation -|y|+x-sqrt((x^(2)+y^(2)-1))ge1

The solution of the differential equation 2x(dy)/(dx)-y=0,y(1)=2 represents . . . . .

Find the general solution of the differential equation (dy)/(dx) = (x+1)/(2 - y), (y ne 2) .

Solve the following differential equation: sqrt(1+x^2+y^2+x^2\ y^2)\ +x y(dy)/(dx)=0

Find the particular solution of the differential equation (1 + e^(2x))dy + (1 + y^(2))e^(x)dx = 0 , given that y = 1 when x = 0