Consider the following difference equation X++1 = cx± (5 – xt) where c > 0 is a parameter. The equation has two equilibria that one is æ1 = 0. The second one is x2 = The second equilibrium is stable for c E (a, B) where a = and B =

Q: The function y=f(x) satisfies the conditions y(0) = 1 and y'=xy³/4. What is y(1)?

A:

Q: Find the solution for following variable separable equation: x² (dx/dy) = y - xy , y(1)=1

A: The main objective is to solve the given variable separable equation.

Q: Determine whether the equilibrium at x = 0 is stable, unstable, or semi-stable. xp -x7 dt The…

A: Determine whether the equilibrium at x=0 is stable,unstable orsemi-stable.dxdt=4x2-x7

Q: If the equilibrium of dy/dx = y - sqrt(y) when y>0 is y=1, is it a stable or unstable equilibrium?

A: Given dydx=y−y, when y>0 We have to check whether y=1 is stable or unstable equilibrium. Note:-…

Q: Suppose u and v are differentiable functions of x. Use the given values of the functions and their…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Solve for a linear equation? P(t)y'' + Q(t)y' + R(t)y = S(t)

A: We have to solve for a linear equationPty''+Q(t)y'+R(t)y=S(t)

Q: Determine all equilibrium solutions and classify as stable, semi-stable, or unstable. dx = x(x²-4)…

A:

Q: show that the solution y(t)=e^2tsin(t) is linearly independant.

A:

Q: Select the response that best describes the phase relationship between v1(t) and i (t). Vi(t) =…

A: Follow the procedure given below.

Q: 2. Differentiate the following equations. a. Differentiate. 11 y 1=22²2²² 7x²

A: Since we are given with the multiple  number of subpart  question answer will be according to the…

Q: find the general solution of y''+y=cos(t) using the variation of parameters method

A:

Q: What is the equilibrium solution of the equation y '(t) = 2y - 4? Is itstable or unstable?

A: The equation given is y't=2y-4. To find the equilibrium solution of the equation y't=2y-4.…

Q: Consider a crossbow that fires a bolt straight upward from the ground with an initial velocity of 56…

A: The given initial problem is, dvdt=f(t,v)=-0.04v-9.8, v(0)=56. To Find: (a) First 10 iterations with…

Q: Find y as a function of a if y" − 3y" − y + 3y = 0, y(0) = −9, y'(0) = −8, y'(0) = 7. y(x) =

A: