In solung the stem of ades x'= Ax, you foung thbat A hos an egenuálue 1= -1+2i with egenector (G), Find the real geneal sdution General solutign: (y(t) b) The equilibrium of tholenmis STABLE IASYPPTOTICALLY STABLE/UNSTABLE %3D xt) %3D

Q: Determine the dependent variable independent variable type pde/ode order degree linearity

A: Let's find characteristics of given differential equation.

Q: Compute the first-order partial derivatives of the function z = 5х — у (Give exact answers. Use…

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Q: 2. The pdf of (X,Y) is 1 еxp TV3 fzy(x, y) ry+ 3 x<x < o, -00 < y < 0 Find the regression curve of Y…

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Q: If (x, y) moves from (-2, –1) towards (1, 5) for a distance 0.02, then which of the following is…

A: fx,y=exyPoints from−2,−1 towards 1,5 for a distance 0.02

Q: _x²+y? f (x,y) = e' 3 (sin(x²) + cos(y²)) %3D %3D 3

A: Given function  fx,y=e-x2+y23sinx2+cosy2 fx=e-x2+y232xcosx2+sinx2+cosy2-2x3e-x2+y23…

Q: xxt' + (t')³ = √√x+5

A: Here is the solution:

Q: Let X, Y have the joint pdf for x? + y 0, y > 0 cx fxy = %3D O.W. where c is some constant.…

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Q: - If W = xy + y2+1 azw Show that a2w ey %3D дхду дудх

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Q: For z = arctan(x² + y²): Compute all first and second order partial derivatives. Find the…

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Q: xy Find all second order derivatives for r(x,y)= 4x +9y

A: The given function is

Q: Determine when the following pairs of functions are linearly independent. (a) y1(t) = e"it; Y2(t) =…

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Q: test the stability of dp/dt=cp(1-p)-ep. Given that p represents the fraction of islands occupied, 0…

A: In metapopulation study- Probability of a source of colonists =P Probability of colonization = c…

Q: y = (8+ z)-1/2, a = 8 %3D Find the Linearization at z = a. L(z) =

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Q: Make an example of an autonomous ODE, with stable equilibrium at -1 and 3, and an unstable…

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Q: Find all equilibrium points and determine their types when C =1. *, = x2 *, = -bx, +1+ c(-1+ sat…

A: Given: x.1=x2x.2 =-bx2+1+c-1+sat0.5-x1-x2

Q: 3 b) Determine the derivative of - from First Principle. (5)

A: The derivative from first principle is given below. Hope this helps!

Q: nt) Consider the discrete-time dynamical system x1+1 = 4x,(1-x₂). If x₁ = ₁, X1+1 = Is x = an…

A: see my solution below

Q: Please find the requested derivative of the following functions. s²-4st+t² = 4, find 25 ds dt - ds…

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Q: + (xytl) Determine the Linearity of this DE. * ya dy y dy O Linear O Non-Linear

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Q: ht) Consider the discrete-time dynamical system Xr+1 - What is the equilibrium for this system? What…

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Q: ztg(x+y+z)- = 0

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Q: Use the chain rule to find the partial derivatives for and av z = coS x siny , x =u – v , y = u²…

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Q: Assume that  dx1/dt= x1(10-2x1-x2) dx2/dt= x2(10-x1-2x2) a) Graph the zero isoclines. b) Show…

A: Given- Assume that  dx1dt = x110 - 2x1 - x2dx2dt = x210 - x1 - 2x2 To find-  Graph the zero…

Q: Find the location of the point A after a translation of 9 units up. DELETE RESET UNDO POINT 4 B 3 -6…

A: We want to find location of point A after translation.

Q: ) (-2)[7 + (–5 (-3) × (-4)

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Q: Calculate the linearization L of f(x) = at x=1. Express your answer in terms of e and x. L(x)=

A: To calculate the linearization of .

Q: 4. xyzx + 2y³ (2)³ = 1 Dependent variable/s: Independent variable/s: Type: Order: Degree: Linearity:

A: Solution :  To discuss about the nature of given differential equations

Q: Assume that  dx1/dt= x1(2-x1)-x1x2 dx2/dt= x1x2-x2 a) Graph the zero isoclines. b) Show that (1,…

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Q: C

A: The dynamic stability of equilibrium. Consider y''+ay'+b=0 be the differential equation of second…