First order differential equations (integrating factor)
8
Express \(\frac { 8 x ^ { 2 } - x + 2 } { x \left( 4 x ^ { 2 } + 1 \right) }\) in partial fractions.
Hence find the general solution to the differential equation
$$\frac { d y } { d x } + \frac { 2 y } { x } = \frac { 8 x ^ { 2 } - x + 2 } { x ^ { 3 } \left( 4 x ^ { 2 } + 1 \right) }$$