Q.5. Boyle-Mariotte's law for ideal gases. Experiments show for a gas at low pressure p (and constant temperature) the rate of change of the volume V(p) equals -V/p. Solve the model. Q.6. Gompertz growth in tumors. The Gompertz model is y = - Ay In y (A > 0), where y(t) is the mass of tumor cells at time t. The model agrees well with clinical observations. The declining growth rate with increasing y > 1 corresponds to the fact that cells in the interior of a tumor may die because of insufficient oxygen and nutrients. Use the ODE to discuss the growth and decline of solutions (tumors) and to find constant solutions. Then solve the ODE