thigan

consider the differential equation d^3x/dt^3 - 9(d^2x/dt^2)+ 27(dx/dt) -27x = c0s t +sin t + te^(3t) a) show that characteristic equation of the differential equation is (m-3)^3 =0 (b) Hence, find the general solution of the equation.

A contains 200 liters of solution in which is dissolved 40 kg of salt. Tank B contains 400 liters of solution in which are dissolved 80 kg of salt. Pure water flows into tank A at rate of 10 liters per second. There is a drain at the bottom of tank A. Sol...