Question

integrate dm/dt = 3m
for m=5 and t=1?

Answer 1

the answer is m=5e^(3t-3) but i dont know why

Answer 2

i solved the equation and got m=ce^3t but i dont know if that's correct

Answer 3

Yes it is. Now solve for C using the initial condition.

Answer 4

ok so i plug it in and i get 5=ce^(3*1)

Answer 5

but where did the 3t-3 come from?

Answer 6

and the 5

Answer 7

It's just the way its written 5e^(3t-3)= 5e^(3t)*e^(-3). In your answer the e^(-3) is enclosed in your C.
5=Ce^(3*1) so
C=5/e^3

Answer 8

oh i see it now thanks!!