First order differential equations (integrating factor)
2
Show that \(\frac { 1 } { x ^ { 2 } }\) is an integrating factor for the first-order differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } - \frac { 2 } { x } y = x$$
Hence find the general solution of this differential equation, giving your answer in the form \(y = \mathrm { f } ( x )\).