Question

Find a Liapunov function for this gradient system. x'(t) = xy^2, y'(t) = x^2y + y^3.

Find a Liapunov function for this gradient system. x'(t) = xy^2, y'(t) = x^2y + y^3.

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
Compute the gradient of the function fx,y,z=cos⁡(xy+z) Solution: Find the divergence and the curl of the...
Compute the gradient of the function fx,y,z=cos⁡(xy+z) Solution: Find the divergence and the curl of the vector field F=2z-xi+x+yj+(2y-x)k
Consider the function f(x, y) = sin(2x − 2y) (a) Solve and find the gradient of...
Consider the function f(x, y) = sin(2x − 2y) (a) Solve and find the gradient of the function. (b) Find the directional derivative of the function at the point P(π/2,π/6) in the direction of the vector v = <sqrt(3), −1>   (c) Compute the unit vector in the direction of the steepest ascent at A (π/2,π/2)
find the absolute maximum value and absolute minimum values of the function f(x,y)4xy^2-x^2y^2-xy^3 on the set...
find the absolute maximum value and absolute minimum values of the function f(x,y)4xy^2-x^2y^2-xy^3 on the set D, where D is the closed trianglar region in the xy-plane with certices (0,0)(0,6)(6,)0
Verify that the function y=x^2+c/x^2 is a solution of the differential equation xy′+2y=4x^2, (x>0). b) Find...
Verify that the function y=x^2+c/x^2 is a solution of the differential equation xy′+2y=4x^2, (x>0). b) Find the value of c for which the solution satisfies the initial condition y(4)=3. c=
Find d^2y/dx^2 . x = t^3 − 7, y = t − t^2 d^2y/dx^2=?
Find d^2y/dx^2 . x = t^3 − 7, y = t − t^2 d^2y/dx^2=?
Find the gradient of the scalar function T (x, y, z) = (x + 3y)z2. find...
Find the gradient of the scalar function T (x, y, z) = (x + 3y)z2. find divergence and the curl too
1. for 0<= x <=3 0<=x<=1 f(x,y) = k(x^2y+ xy^2) a. Find K joint probablity density...
1. for 0<= x <=3 0<=x<=1 f(x,y) = k(x^2y+ xy^2) a. Find K joint probablity density function. b. Find marginal distribution respect to x c. Find the marginal distribution respect to y d. compute E(x) and E(y) e. compute E(xy) f. Find the covariance and interpret the result.
Let f(x,y) = xe^sin(x^2y+xy^2) /(x^2 + x^2y^2 + y^4)^3 . Compute ∂f ∂x (√2,0) pointwise.
Let f(x,y) = xe^sin(x^2y+xy^2) /(x^2 + x^2y^2 + y^4)^3 . Compute ∂f ∂x (√2,0) pointwise.
Let F be the defined by the function F(x, y) = 3 + xy - x...
Let F be the defined by the function F(x, y) = 3 + xy - x - 2y, with (x, y) in the segment L of vertices A (5,0) and B (1,4). Find the absolute maximums and minimums.
(9) (a)Find the double integral of the function f (x, y) = x + 2y over...
(9) (a)Find the double integral of the function f (x, y) = x + 2y over the region in the plane bounded by the lines x = 0, y = x, and y = 3 − 2x. (b)Find the maximum and minimum values of 2x − 6y + 5 subject to the constraint x^2 + 3(y^2) = 1. (c)Consider the function f(x,y) = x^2 + xy. Find the directional derivative of f at the point (−1, 3) in the direction...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT