Solve: \(\frac { 1+{ x }^{ 2 } }{ 1+y } =xy\frac { dy }{ dx } \)

Solve: log\(\left( \frac { dy }{ dx } \right) \) = ax + by

Find the order and degree of the following differential equation
\(\frac { { d }^{ 2 }y }{ { dx }^{ 3 } } -3{ \left( \frac { dy }{ dx } \right) }^{ 6 }+2y={ x }^{ 2 }\)

Find the order and degree of the following differential equation
 y' + (y'')² = (x + y'')²

Find the order and degree of the following differential equation
\(y=2{ \left( \frac { dy }{ dx } \right) }^{ 2 }\)+ 4x\(\frac { dx }{ dy } \)