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

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

Solve the following differential equations. (i) (dy)/(dx) =(1+y^(2))/(1+x^(2)) (ii) (dy)/(dx) = (sqrt(1-y^(2)))/(sqrt(1-x^(2))) (iii) (dy)/(dx) = 2y tan hx (iv) sqrt(1+x^(2))dx + sqrt(1+y^(2))dy = 0 (v) (dy)/(dy) = e^(x-y)+x^(2)e^(-y)

If x sqrt(1-y^(2))+y sqrt(1-x^(2))=k , then the value of (dy)/(dx) at x=0 is -

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))

If (x+sqrt(1+x^(2))) (y+sqrt(1+y^(2))) =1 then (dy)/(dx) may be equals to

If (x+sqrt(1+x^(2))) (y+sqrt(1+y^(2))) =1 then (dy)/(dx) may be equals to

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

If x sqrt ( 1+ y) + y sqrt( 1+x) =0 , prove that (dy)/( dx) = - (1)/( (1+x)^2) .

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

If sqrt(1 -x^2) + sqrt(1-y^2) = a(x-y), show that, (dy)/(dx) = sqrtfrac(1-y^2)(1-x^2)