Solution `(1+xsqrt(x^2+y^2))dx+y(-1+sqrt(x^2+y^2))dy=0` is `x-y^2/2+1/3(x^2+y^2)^(3/2)+c=0`

Statement 1: Solution of (1 + xsqrt(x^2+y^2) ) dx + y (-1 +sqrt(x^2+y^2)) dy = 0 is x-y^2/2+1/3(x^2 + y^2)^(3/2) +c=0

Statement-1 : Solution of (1 + xsqrt(x^2+y^2) ) dx + y (-1 +sqrt(x^2+y^2)) dy = 0 is x-y^2/2+1/3(x^2 + y^2)^(3/2) +c=0 Statement-2 : Solution of (1 + xy) y dx + (1-xy) x dy = 0 is ln (x/y)-1/(xy)=c

Statement-1 : Solution of (1 + xsqrt(x^2+y^2) ) dx + y (-1 +sqrt(x^2+y^2)) dy = 0 is x-y^2/2+1/3(x^2 + y^2)^(3/2) +c=0 Statement-2 : Solution of (1 + xy) y dx + (1-xy) x dy = 0 is ln (x/y)-1/(xy)=c (A) STATEMENT-1 is true, STATEMENT-2 is true and STATEMENT-2 is correct explanation for (B) STATEMENT-1 is true, STATEMENT-2 is true and STATEMENT-2 is not correct explanation of STATEMENT-1 for STATEMENT-1 C) STATEMENT-1 is true, STATEMENT-2 is false D)STATEMENT-1 is false, STATEMENT-2 is true

Statement-1 : Solution of (1 + xsqrt(x^2+y^2) ) dx + y (-1 +sqrt(x^2+y^2)) dy = 0 is x-y^2/2+1/3(x^2 + y^2)^(3/2) +c=0 Statement-2 : Solution of (1 + xy) y dx + (1-xy) x dy = 0 is ln (x/y)-1/(xy)=c (A) STATEMENT-1 is true, STATEMENT-2 is true and STATEMENT-2 is correct explanation for (B) STATEMENT-1 is true, STATEMENT-2 is true and STATEMENT-2 is not correct explanation of STATEMENT-1 for STATEMENT-1 C) STATEMENT-1 is true, STATEMENT-2 is false D)STATEMENT-1 is false, STATEMENT-2 is true

The solution of x sqrt(1+y^(2))dx+y sqrt(1+x^(2))dy=0

The solution of x sqrt(1 - y^(2)) dx + y sqrt(1 - x^(2)) dy = 0 is

The general solution of x sqrt(1 + y^(2)) dx + y sqrt(1 + x^(2)) dy = 0 is

The solution of (x^(2)y^(3) +x^(2))dx + (y^(2)x^(3)+y^(2))dy = 0 is

The solution of (x dx+y dy)/(x dy-y dx)=sqrt((1-x^2-y^2)/(x^2+y^2)) is

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)))