(x^(2)-y^(2))dx=2xydy

Solve (x^(2)-3y^(2))dx+2xydy=0

Solve each of the following initial value problems: (x^(2)-2y^(2))dx+2xydy=0,y(1)=1

Solve each of the following initial value problems: (x^(2)+y^(2))dx+xydy=0,y(1)=1

Let y=f(x) be function satisfying the differential equation (y^(2)x-y^(2))dx-xydy-0 and y(1)=e then the range of the function f(x) is:

Show that the differential equation (xsqrt(x^(2)+y^(2)-y^(2)))dx+xydy=0 is homogenous and solve it.

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

Statement-1: The solution of the differential equation (x^2+y^2)dx=2xydy satisfying y(1)=0 is x^2-y^2=x .Statement-2: The differential equation (x^2+y^2)dx=2xydy can be solved by putting y=vx . (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

Statement-1: The solution of the differential equation (x^2+y^2)dx=2xydy satisfying y(1)=0 is x^2-y^2=x .Statement-2: The differential equation (x^2+y^2)dx=2xydy can be solved by putting y=vx . (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

The general solution of the differential equation (y^(2)-x^(3))dx-xydy=0(x!=0) is: (where c is a constant of integration)

The general solution of the differential equation (y^(2)-x^(3))dx-xydy=0 (x ne0) is (where, C is a constant of integration) (A) y^(2)-2x^(2)+Cx^(3) =0 (B) y^(2)+2x^(3)+Cx^(2) =0 (C) y^(2)+2x^(2)+Cx^(3) =0 (D) y^(2)-2x^(3)+Cx^(2) =0