PLEASE DO A AND B

Figure $2$shows a liquid$-$level system in which two tanks have cross$-$sectional areas A$1$and A$2,$respectively$.$ A pump is connected to the bottom of tank $1$through a valve of linear resistance R$1.$The liquid flows from tank $1$to tank $2$through a valve of linear resistance R$2$and leaves tank $2$through a valve of linear resistance R$3.$The density of the liquid is constant.

a$.$Derive the differential equations in terms of the liquid heights h$1$and h$2.$Write the equations in second$-$order matrix form.

b$.$Assume the pump pressure $$p as the input and the liquid heights h$1$and h$2$as the outputs. Determine the state$-$equations form of the system.