Question

find the solution to dT-k(T+45)dt=0 that satisfies T(0)=200

Answer 1

the way you are writing things out is confusing !!!!

Answer 2

That is exactly how it is written... and I have it.

Answer 3

I am lost too..

Answer 4

i believe its separable

Answer 5

yeah my first step would be to separate variables and then integrate.

Answer 6

I am assuming this is just another differential equation that I am solving,

Answer 7

\[dT-k(T+45)dt=0\]
\[dT=k(T+45)dt\]
\[(T+45)^{-1} dT=k\ dt\]

Answer 8

yes it is

Answer 9

we might even be able to do it other ways; but thats the first thing that came to mind

Answer 10

quick question where did that -1 come from o.o

Answer 11

\[\frac{1}{a}=a^{-1}\]
i just divided both sides by T+45

Answer 12

\[\frac{1}{T+45}dT=k\ dt\]
same thing

Answer 13

ahh ok :) got cha,