Fluid function

[1lessdigit]

I need to solve the following diff eq: T dH/dt + H = K Q to develop an expression to define H as a function of t

where

H = height of liquid level in tank
Q = flow rate
K = not sure

initial conditions:
H=0
T= 30
K= 0.4
Q= 2

I have set the homogeneous equation T dH/dt + H = 0, and separated the variables to get: dH/H = -(1/T) dt , integrated both sides to get H= exp (-t/T) + exp (c) which yields C1 exp(-t/T)

I'm not sure how to treat KQ
Please help.

Thanks

 

[Deleted member 4993]

I need to solve the following diff eq: T dH/dt + H = K Q to develop an expression to define H as a function of t

Is T or t - different parameters? If NOT - edit your post and fix those properly

where

H = height of liquid level in tank
Q = flow rate
K = not sure

initial conditions:
H=0
T= 30
K= 0.4
Q= 2

I have set the homogeneous equation T dH/dt + H = 0, and separated the variables to get: dH/H = -(1/T) dt , integrated both sides to get H= exp (-t/T) + exp (c) which yields C1 exp(-t/T)

I'm not sure how to treat KQ
Please help.

Thanks