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 x sqrt(x^(2)-1)dy-y sqrt(y^(2)-1)dx=0 satisfy y(2)=(2)/(sqrt(3))

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)))

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

Solution of the differential equation (x+y-1)dx+(2x+2y-3)dy=0 is

Solution of the differential equation y dx+(x-y^(2))dy=0 is

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

Solution of the differential equation (xsqrt(x^(2)-y^(2))-y^(2))dx+xy dy=0 is

Solution of the differential equation x(dy)/(dx)=y+sqrt(x^(2)+y^(2)) , is