Find the values of the constants \(a\) and \(b\) for which \(a x + b\) is a particular integral of the differential equation
$$2 \frac { \mathrm {~d} y } { \mathrm {~d} x } - 5 y = 10 x$$
Hence find the general solution of \(2 \frac { \mathrm {~d} y } { \mathrm {~d} x } - 5 y = 10 x\). [0pt]
[3 marks]