Question

Consider the system [ x' = -2y & y' = 2x] . Use dy/dx to find...

Consider the system [ x' = -2y & y' = 2x] . Use dy/dx to find the curves y = y(x).

Draw solution curves in the xy phase plane. What type of equilibrium point is the origin?

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider the dynamical system below. dx/dt = -x+2y-4 dy/dt = -x-2y a.Sketch the nullclines for this...
Consider the dynamical system below. dx/dt = -x+2y-4 dy/dt = -x-2y a.Sketch the nullclines for this system b. Find the equilibrium point c. From the initial point (0,2), and using a Δt value of 0.2, compute the current position after one iteration.
Consider the initial value problem dy dx = 1−2x 2y , y(0) = − √2 (a)...
Consider the initial value problem dy dx = 1−2x 2y , y(0) = − √2 (a) (6 points) Find the explicit solution to the initial value problem. (b) (3 points) Determine the interval in which the solution is defined.
Find a general solution: (dy/dx) = (x+xy^2)/2y
Find a general solution: (dy/dx) = (x+xy^2)/2y
dx/dt=y, dy/dt=2x-2y
dx/dt=y, dy/dt=2x-2y
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.
Consider the following linear system (with real eigenvalue) dx/dt=-2x+7y dy/dt=x+4y find the specific solution coresponding to...
Consider the following linear system (with real eigenvalue) dx/dt=-2x+7y dy/dt=x+4y find the specific solution coresponding to the initial values (x(0),y(0))=(-5,3)
Solve the following ODE's/ IVP's y'=1/xsin(y)+2sin(2y) Hint: consider x=x(y) and dx/dy=1/(dx/dy)=1/y'
Solve the following ODE's/ IVP's y'=1/xsin(y)+2sin(2y) Hint: consider x=x(y) and dx/dy=1/(dx/dy)=1/y'
(* Problem 3 *) (* Consider differential equations of the form a(x) + b(x)dy /dx=0 *)...
(* Problem 3 *) (* Consider differential equations of the form a(x) + b(x)dy /dx=0 *) \ (* Use mathematica to determin if they are in Exact form or not. If they are, use CountourPlot to graph the different solution curves 3.a 3x^2+y + (x+3y^2)dy /dx=0 3.b cos(x) + sin(x) dy /dx=0 3.c y e^xy+ x e^xydy/dx=0
3. Consider the equation: x^2y −√y = 2 + 4x^2 a) Find dy/dx using implicit differentiation....
3. Consider the equation: x^2y −√y = 2 + 4x^2 a) Find dy/dx using implicit differentiation. b)Construct the equation of the tangent line to the graph of this equation at the point (1, 9)
Consider the following system of differential equations dx/dt = (x^2 + 2x + 1)(x^2 − 4x...
Consider the following system of differential equations dx/dt = (x^2 + 2x + 1)(x^2 − 4x + 4) dy/dt = xy − 1 Which of the following is not an equilibrium point of the above system? (A) (3, 1/3 ) (B) (−1, −1) (C) (1, 1) (D) (1, 3)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT