Question

dy/dt = -ky

Answer 1

Also, this particular ODE is so common one just memorizes its solution.

Answer 2

Try this:\[\int\frac{1}{y}dy=-k\int dt\]

Answer 3

(Method of separation of variables)

Answer 4

I learned 5yrs ago.. I forgot everything... I just need an answers.. would u tell me its solution??

Answer 5

\[\ln(y)=-kt+c_{1},\]\[y=e^{-kt+c_{1}},\]\[y=c_{1}e^{-kt}.\]

Answer 6

Thanx a lot.. I understand... lol~~