PDE Q1. Express the total differential of Temperature (a) that varies across room in such a way that it is uniform along z-axis but varies in xy plane. (b) that varies across room in such a way that it is uniform along x-axis but varies in zy plane. (c) that varies across room in such a way that it is uniform along y-axis but varies in xz plane. Q2. Express the total differential of mass of fluid flowing in and out of tank via pump along (a) y-axis in such a way that width of water level in tank labeled by x-axis is increasing with a small leak of fluid outside tank along z-axis. 1 (b) z-axis in such a way that height of water level in tank labeled by y-axis is uniform with a small leak of fluid outside tank along x-axis. (c) x-axis in such a way that height of water level in tank labeled by y-axis is increasing with a small leak of fluid outside tank along z-axis.