A community for students.
Here's the question you clicked on:
 0 viewing
frank0520
 one year ago
Use separations of variables to solve the Differential Equation:
K dN/dt = r(NK)(NA)
After doing partial fractions and the integration I get:
(NA)/(NK) = C_1 e^((AK)(rt)/K)
I am stuck solving for N
frank0520
 one year ago
Use separations of variables to solve the Differential Equation: K dN/dt = r(NK)(NA) After doing partial fractions and the integration I get: (NA)/(NK) = C_1 e^((AK)(rt)/K) I am stuck solving for N

This Question is Closed

frank0520
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ NA }{NK }=C_1e^{\frac{ (AK)(rt) }{ K }}\] I am stuck in this part, solving for N

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\large\rm \frac{ NA }{NK }=c_1e^{stuff}\]Multiply both sides by (NK),\[\large\rm NA=(NK)c_1 e^{stuff}\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Distribute,\[\large\rm NA=N c_1 e^{stuff}K c_1 e^{stuff}\]Let's subtract N to move it to the right side, and add Kc_1 e^(stuff) to the other side by adding,\[\large\rm K c_1 e^{stuff}A=N c_1 e^{stuff}N\]Then factor an N out of each term on the right side,\[\large\rm K c_1 e^{stuff}A=N (c_1 e^{stuff}1)\]And divide to isolate your N,\[\large\rm \frac{K c_1 e^{stuff}A}{c_1 e^{stuff}1}=N\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1If your K is just a constant, you can probably just absorb it into the c.\[\large\rm \frac{c_2 e^{stuff}A}{c_1 e^{stuff}1}=N\]

frank0520
 one year ago
Best ResponseYou've already chosen the best response.0Thanks for the help.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.