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

If y=log[x+sqrt(x^(2)+1)], prove that (x^(2)+1)(d^(2)y)/(dx^(2))+x(dy)/(dx)=0

If y=log[x+sqrt(x^(2)+1)] , then prove that (x^(2)+1)(d^(2)y)/(dx^(2))+x(dy)/(dx)=0 .

(1+x)dy-(2+2y)dx=0

The general solution of the differential equation (x^(2) +x+1) dy + (y^(2) +y+1) dx =0 " is " (x+y+1) =A (1 + Bx +Cy +Dxy) where B,C,D are constants and A is parameter. What is B equal to ?

The general solution of the differential equation (x^(2) +x+1) dy + (y^(2) +y+1) dx =0 " is " (x+y+1) =A (1 + Bx +Cy +Dxy) where B,C,D are constants and A is parameter. What is C equal to ?

The general solution of the differential equation (x^(2) +x+1) dy + (y^(2) +y+1) dx =0 " is " (x+y+1) =A (1 + Bx +Cy +Dxy) where B,C,D are constants and A is parameter. What is D equal to ?

The general solution of the differential equation (x^(2) + x + 1) dy + (y^(2) + y + 1) dx = 0 is (x + y + 1) = A (1 + Bx + Cy + Dxy) , where B , C and D are constants and A is parameter What is B equal to ?

The general solution of the differential equation (x^(2) + x + 1) dy + (y^(2) + y + 1) dx = 0 is (x + y + 1) = A (1 + Bx + Cy + Dxy) , where B , C and D are constants and A is parameter What is C equal to ?

If y=sin^(-1)x then prove that (1-x^(2))(d^(y))/(dx^(2))-x(dy)/(dx)=0