Answer
$dm=5p^{4}q^{3}dp+3p^{5}q^{2}dq$
Work Step by Step
Write the differential form such as:
$dw=\dfrac{\partial w}{\partial x} \times dx + \dfrac{\partial w}{\partial y} \times dy $
Write the partial derivatives with respect to $p$ and $q$.
$dm= \dfrac{\partial m}{\partial p} \times dp+\dfrac{\partial m}{\partial q} \times dq$
$ \dfrac{\partial m}{\partial p} \times dp=(5) \times p^{4} \times q^{3}dp$ ....(1)
and $\dfrac{\partial m}{\partial q} \times dq=(3) p^{5}q^{2}dq$ ...(2)
From the equations (1) and (2)
$dm=5p^{4}q^{3}dp+3p^{5}q^{2}dq$
