Can anyone solve this? my teacher said multiply each side by e^.4t



Here is the info :

c(t) is the concentration of the drug at time t in mg/ml

q(t) is a pill in grams that enters the bloodstream at .3q(t)

6 liters of blood. minimum concentration is .4mg/ml and max is 2 mg/ml



Here is the equation:


dc/dt=-.4c(t)+.3q(t)

can anyone help me solve this equation?


This might help or not dq/dt=.3q(t) lnq(t)=.3t+C q(t)=Ce^.3t but one might want to convert it to mg/ml


I just need help solving the equation though