Question

Q)A population follows a generalized logistics growth given by. dx/dt=(rx/α) [1-(x/k)^α],α>0. 1)find the exact solution of...

Q)A population follows a generalized logistics growth given by.
dx/dt=(rx/α) [1-(x/k)^α],α>0.

1)find the exact solution of this differential equation and show that the limiting population is still k.
2)what happen to the model if α→0 and α→-1?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
solve the given initial value problem dx/dt=7x+y x(0)=1 dt/dt=-6x+2y y(0)=0 the solution is x(t)= and y(t)=
solve the given initial value problem dx/dt=7x+y x(0)=1 dt/dt=-6x+2y y(0)=0 the solution is x(t)= and y(t)=
Use the Laplace transform to solve the given system of differential equations. dx/dt=x-2y dy/dt=5x-y x(0) =...
Use the Laplace transform to solve the given system of differential equations. dx/dt=x-2y dy/dt=5x-y x(0) = -1, y(0) = 6
consider the equation y*dx+(x^2y-x)dy=0. show that the equation is not exact. find an integrating factor o...
consider the equation y*dx+(x^2y-x)dy=0. show that the equation is not exact. find an integrating factor o the equation in the form u=u(x). find the general solution of the equation.
Find the general solution to the given differential equation. 1+(1+ty)e^ty+(1+t^2e^ty) dy/dt=0
Find the general solution to the given differential equation. 1+(1+ty)e^ty+(1+t^2e^ty) dy/dt=0
Solve the following autonomous differential equation with the given initial condition. dx/dt=8-4x, where x(1)=-7 x=?
Solve the following autonomous differential equation with the given initial condition. dx/dt=8-4x, where x(1)=-7 x=?
dx/dt=(1/4)x^3 -x, c(0)=1 compute the solution to this initial value problem. An algebraically implicit solution for...
dx/dt=(1/4)x^3 -x, c(0)=1 compute the solution to this initial value problem. An algebraically implicit solution for x(t) is acceptanle x(0)=1
Use Euler’s method to numerically solve the differential equation dx/dt=0.3x−10 for 0≤t≤3 given that x=40 when...
Use Euler’s method to numerically solve the differential equation dx/dt=0.3x−10 for 0≤t≤3 given that x=40 when t=0. Do not do any rounding. Work must be shown
1) Solve the given differential equation by separation of variables. exy dy/dx = e−y + e−6x...
1) Solve the given differential equation by separation of variables. exy dy/dx = e−y + e−6x − y 2) Solve the given differential equation by separation of variables. y ln(x) dx/dy = (y+1/x)^2 3) Find an explicit solution of the given initial-value problem. dx/dt = 7(x2 + 1),  x( π/4)= 1
a). Find dy/dx for the following integral. y=Integral from 0 to cosine(x) dt/√1+ t^2 , 0<x<pi  ...
a). Find dy/dx for the following integral. y=Integral from 0 to cosine(x) dt/√1+ t^2 , 0<x<pi   b). Find dy/dx for tthe following integral y=Integral from 0 to sine^-1 (x) cosine t dt
find the solution of the first order differential equation (e^x+y + ye^y)dx +(xe^y - 1)dy =0...
find the solution of the first order differential equation (e^x+y + ye^y)dx +(xe^y - 1)dy =0 with initial value y(0)= -1
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT