Recent content by kochibacha

thanks for the fast reply. The problem was actually Mathematica cannot solve these system of equations (picture attached) so I used Excel Solver to find k,v satisfying those two equations. I just wonder that the k,v that I got are the only real number solutions to this system.

Is there any general theorem on finding number of solutions to this system of equations(D e^(-k (a - t)) (1 - e^-kt) (1 - e^(-a k n)))/((1 - e^(-a k)) k t v) = S (G e^(-k (a - t)) (1 - e^-kt) (1 - e^(-a k n)))/((1 - e^(-a k)) k t v) = Twhere k,v are variables and others are constant *edited...

consider this IVP y'=r-ky , y(0)=y0 y= (y0)e^(-kt) + (r/k)(1-e^(-kt)) if y,y0,r,t are provided, we should be able to solve for k and that's the problem but what I'm really interested is analyzing this problem if we let y=0.99 (r/k) find t in terms of all other variables Of courses, if...

Observation of the growth of some beetle population suggests that discrete logistic equation would be more appropriate since these animals have distinct breeding season. discrete logistic equation: Xn+1=Xn+rXn(1-(X2/K)) the result of this equation accounts for population only season to...

could you help me discuss with this problem , considering a real physical problem would get me a better understanding of what does this mean from Ideal gas law PV=nRT where P = pressure , V= volume , T = temperature, n= constant=1 , R = constant =1 let n = R = 1 , we have P=T/V...

i came to this topic and they said Duf(x) = ||gradient vector|| * ||U|| * cos 0 if ||U|| were not a unit vector it would give different rate of change of f in any direction what would happens if used ||U|| = 10 ?

anyone?

i mean how they derive for v'=cv^2/3

Are these statements correct, if not could you give me an example 1. If solution of IVP is non-unique then there are infinitely many solutions in short, if the solution to the IVP has at least 2 solutions then there are infinitely many solutions to this IVP 2.there are none IVP first...

it's linear ordinary differential equation and when i tried to solve the integrating factor cannot be put in an elementary form. The text i that i got this equation tell me to plot y versus t for several constant C so there must be the exact solution

then how can u solve for V(t) ?

i want to find V(t) At first i found this problem was very simple but when i try to write differential equations i ended up with these V' = kA that's for sure then i confined the problem only to spherical shape and no other shapes of raindrops involved as i can't express A in term of V alone(...

sorry for ambiguous writing it must be X=K(AB)1/2 and f'(t) is direct proportional to product itself f(t) and the substrate F(t) However, your answer still hasn't answered my questions. if x is directly proportional to A and as well as B. How can we express x in terms of equations? if...

if x is direct, indirect or exponentially propotional to A and as well as B can we write x=kAB ? if we write the equation seperately, we have x=k1A, x=k2B when combined, x2=(k1k2)1/2 (AB)2 then x=k3(AB)1/2 to see the real complicate example EX.1 trypsinogen is converted to trypsin in...