Let a solution y = y(x) of the differential equation `xsqrt(x^2-1) dy - y sqrt(y^2-1) dx=0`, satisfy `y(2)= 2/sqrt 3`

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)) Statement II y(x) is given by (1)/(y) =(2sqrt3)/(x)-sqrt(1-(1)/(x^(2)))

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)/(2)=(2sqrt3)/(x)-sqrt(1-(1)/(x^(2)))

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)/(sqrt(3)) Statement- I : y(x)=sec(sec^(1)x-(pi)/(6)) Statement-II : y(x) is given by (1)/(y)=(2sqrt(3))/(x)=sqrt(1-(1)/(x^(2)))

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

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

Solve the Differential Equation : y sqrt(4-x^2) dy - sqrt (2+y^2) dx= 0

The solution of the differential equation ysqrt(1+x^2) dy+xsqrt(1+y^2)dx=0 is

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