Calculus II
posted by Catherine .
I'm having trouble getting started. Steve said it's similar to another question I asked but I don't know how to begin. Any help?
Suppose a cell of volume V cc is surrounded by a homogeneous chemical solution of concentration C g/cc. Let y denote the concentration of the solute inside the cell at any time t and suppose that, initially, the concentration is y0. Fick's law, named after the German physiologist Adolf Fick (18291901), states that the rate of change of the concentration of solute inside the cell at any time t is proportional to the difference between the concentration of the solute outside the cell and the concentration inside the cell and inversely proportional to the volume of the cell. Fick's law may be expressed as the differential equation.
dy/dt = k/V(CY)
y(0) = y_0
Use separation of variables to solve the differential equation given above, where k, V, C, and y0 are constants with
C − y > 0.
(Note: The constant of proportionality k depends on the area and permeability of the cell membrane.)
y = ?????

Calculus II 
Steve
check your previous posts. This one is explained there.
Respond to this Question
Similar Questions

speech/english
this is kinda similar to last nights question We have to write an introduction, thesis, and now part of the body My topic was if I could do anything without getting in trouble, what would it be? 
Chemistry
I am having trouble getting this starting and figuring out the correct steps...the problem is Calculate the final concentration of the solution in each question 1) Water is added to 0.270 L of a 6.00M HCl solution to give a volume … 
Chemistry
Im having trouble on a question Im not sure what it is they are asking for. A voltaic cell similar to that shown in Figure 20.5 is constructed. One electrode compartment consists of a silver strip placed in a solution of AgNO3, and … 
Logarithms
log4(10)=x Im having trouble getting started here with this question thanks 
Chemistry
Hello, I'm having some trouble getting started on this question: "Calculate the volume and mass required to make 0.1 M solutions of Propionic Acid (1.0 M) and Sodium Propanoate (96.06 g/mol)" I would normally not have trouble answering … 
AP Chemistry
This is the question I am having trouble with: A voltaic cell consists of a strip of lead metal in a solution of Pb(NO3)2 in one beaker, and in the other beaker a platinum electrode is immersed in a NaCl solution, with Cl2 gas bubbled … 
Chemistry
I'm having trouble turning mM to mOsmoles. The equation goes like this: red blood cell are placed into a beaker filled with .5L of a 150mM NACL solution. NACL is nonpenetrating solute and will not cross the red blood cell membrane. … 
Calculus
Find the particular solution of differential equations that satisfies the initial condition dx/dy=e^(x+y) x(1)=0 I know you have to get all the y and dy on one side and x and dx on the other so you can intagrate and stuff, but im having … 
calculus
it is assumed that f is differentiable and that w has an absolute maximum at t0 w(t)= f(t)/(c+t) derivative is f'(t)(c+t)f(t)/(c+t)^2 Show that f(t0) = f′(t0)(C + t0). I'm having a bit of trouble in the above question. I keep getting … 
Calculus II
Suppose a cell of volume V cc is surrounded by a homogeneous chemical solution of concentration C g/cc. Let y denote the concentration of the solute inside the cell at any time t and suppose that, initially, the concentration is y0. …