Find the differential equation of the family of straight lines y = mx + c when
(i) m is the arbitrary constant
(ii) c is the arbitrary constant
(iii) m and c both are arbitrary constants.

Solve : x - y \(\frac { dx }{ dy } =a\left( { x }^{ 2 }+\frac { dx }{ dy } \right) \)

Solve the differential equation y²dx + (xy + x²)dy = 0

Solve the following homogeneous differential equations.
\(\frac { dy }{ dx } =\frac { 3x-2y }{ 2x-3y } \)

Solve (x² + 1)\(\frac { dy }{ dx } \) + 2xy = 4x²