First order differential equations (integrating factor)
2
Find the values of the constants \(p\) and \(q\) for which \(p \sin x + q \cos x\) is a particular integral of the differential equation
$$\frac { \mathrm { d } y } { \mathrm {~d} x } + 5 y = 13 \cos x$$
Hence find the general solution of this differential equation.