(newton's law of cooling/warming) use 'separation of variables' to solve the ivp: 3+2-5 pts = k(90- t), k> 0 with ic: t(0) 0. estimate the constant k when t(1) 45 dt

Step-by-step explanation:

The Newton's law differential equation is:

We solve by variable separation

integrating both sides between time 0 to time t, T(0) = 0 to T(t).

applying logarithm properties

(*)

applying exponential function to both sides

Now replacing the condition T(1) = 45 in (*)

it is b)

hope this : )

step-by-step explanation:

may i see the picture? it would a lot, xox