Suppose QCekt satisfies the differential equation dQdt002Q W

Suppose Q=Ce^kt satisfies the differential equation dQ/dt=?0.02Q

What (if anything) does this tell you about the values of C and k?

a) Either: C= , and k=

(For each of C and k, enter the value that the parameter must take, or enter the word \"anything\" if there are no restrictions on the value.)

b) or: C= , and k=

(For each of C and k, enter the value that the parameter must take, or enter the word anything if there are no restrictions on the value.)

I\'m getting this problem, please help. Show all work, thank you !

Solution

dQ/dt=-0.02Q dQ/Q =-0.02dt lnQ =-0.02t Q=e^-0.02t Q=e^-0.02(e^t) or Q=e^0.02(e^-t) c=e^-0.02 k=1 or c=e^0.02 k=-1