Solve the Differential Equation : `y sqrt(4-x^2) dy - sqrt (2+y^2) dx= 0`

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

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

Solve the differential equation: dy=x(x^2-2y)dx

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

Solve the following differntial equations: sqrt(1+x^2)dy+sqrt(1+y^2)dx=0 .

Solve the differential equation : x (dy/dx) + 2y = x^2

Solve the differential equation : (x+y)dy-(y-x)dx=0 .

Solve the differential equation : dy/dx+3y=2x .