Solve the following equation for T. (dT)/(dt)=K(m-T)

sdentatoiz

sdentatoiz

Answered question

2022-09-03

Solve the following equation for T.
d T d t = K ( m T )

Answer & Explanation

Aydin Rodgers

Aydin Rodgers

Beginner2022-09-04Added 12 answers

d T m T = K d t
integrate both sides:
ln ( m T ) = k t + C
ln ( m T ) = k t C
m T = e k t C
T = m D e k t .... D is constant
wurpenxd

wurpenxd

Beginner2022-09-05Added 3 answers

rearranging the equation and you get
d T m T = k d t
d T m T = k d t
ln ( m T ) = k t + c
raise both sides to e
e ln ( m T ) = e k t + c
( m T ) 1 = C e k t
1 C e k t = m T
T = m 1 C e k t

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