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

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

Show that each of the following differential equations is homogeneous and solve each of them : (x+y)dy-(y-x)dx=0

3^(y-x)dy-3^(x-y)dx=0

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

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

Solve the differential equations: (x-y-1)dy-(x-y-3)dx=0

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

Solve: x^(2)dy+y(x+y)dx=0

On putting y =vx the homogeneous equation x^(2)dy+y(x+y)dx=0 becomes ………