= 60x – 6x2 – 10xy ly' = 63y – 7y? – 9æy %3D Find the critical points (equilibria) for this system. Give your answer as a list of points, like: (1,2), (3,4)

Q: find the general solution with egienvalues and the phase potrait

A:

Q: ( - 2 () 4 a) dx³ + yw = 0 dx, b) x(y")³ + (y')ª – y = 0 c) y = xy' + (y')² + 1

A:

Q: The Bernoulli equation y'+37 xy'= 34 y can be converted to one of the following linear equations: a.…

A:

Q: – 2y' = 2t 2x – x + y' – 2y = 7 x" + x

A:

Q: Consider the system x' = 0, y' = 0. what would the general solution be?

A:

Q: x' +y" +x-y+x+y= 2r² %3D x +y' +x-y3Det

A: The given equations are; x" + y" + x' - y' + x + y = 2t2 x' + y' + x - y = e2t

Q: Please answer all and graph

A:

Q: y³ = 1 3x + 4y = 5 6x³ –

A:

Q: Solve the system Ÿ' = AŸ + Ġ for A

A: a0 A = 7-143 , B = 5505 , P = 122-1Then p-1 = 1-1 -4 -1-2-21               = 1-5 -1-2-21…

Q: Find the general solution of the given system of equations. Solve using similarit transforms. x' =…

A: Given,           x'=2-13-2x+1-1et

Q: Rewrite the following linear equation as a system of first order equation of the form y' = A(t)y +…

A: We have to convert the given equation as a system of first order linear differential equations.…

Q: Verify that y, = e2x and y2 = e5×are solutions of у" - 7у' + 10у %3D 0

A: We have to verify that the functions y1=e2x and y2=e5x are solutions to the given differential…

Q: What physical systems might the Chini equation, y*y' + f(x) = g(x)*y, represent? Can you tell me…

A: The Chini equation, given by  y∗y′+f(x)=g(x)∗y , appears in various physical and engineering…

Q: 1. Describe each of the following equations, giving its order and telling whether it is ordinary or…

A: 1)Given DE is y"+3(y')2+4y=0. We find it's order and decide whether it is ordinary or partial and…

Q: The functions y x +2x-3 and y=x-1 are graphed on the grid shown below. Which of the following is the…

A: The graph of the functions y=x2+2x-3 and y=x-1 are shown on the given grid:

Q: x and y: x+y = 12 2x + y = 20 %3D %3D

A:

Q: f(x, y) = 8 – + xy. I y

A:

Q: The distance from the point S(1,1,0) to the line 3t, z = 2 - t is -T = 1- 2t, y = %3D |3D اخترأحد…

A: Givne that  The point S(1,1,0) line x=1-2t,y=3t,z=2-t To find distance from the point to the line

Q: Solve the following first order equations: (e" + y)dx + (2+x + ye")dy = 0, y(0) = 1.

A: First order linear differential equation

Q: y" – 2y' + y = -3 – x + x?.

A:

Q: Equation xdy + ydx = 0 y"-3y" + 3y + y = 0 (y)¹/² = √/(1+y")4 Order Degree Kind IV DV

A:

Q: Solve for A y and dy if y = f (x) = -3x + 2x2 – 3x +5 %3D and

A: Given that: y=f(x)  =-3x3+2x2-3x+5

Q: Take the system Find a particular solution of the form *₁(t) = x₂ (t) = help (formulas) = v cos(4t)…

A:

Q: -4 2 dx dt -10 4 3 with x(0) = 3 Give your solution in real form. X1 = X2 = An ellipse with…

A:

Q: Eliminate the arbitrary constants on the given equation: y= Ae" + Bre 2y +y=0 O y =-y" + 2g

A: The given equation is y=Aex+Bxex. We have to eliminate the arbitrary constants.

Q: Solve the system using the elimination method 5x'+y" -y + =t x" - 4x - 2y' = -2...

A:

Q: Solve the following equations: 1. (D-D2-2D)y = 0 2. 4Dy-13Dy + 6y = 0 3. D'y - D'y – Dy + y = 0 %3D

A: On solving ist three questions we will get

Q: Consider the linear system y' = Aỹ with (a) Find the general solution. 1 4 = (-5₁3) A -1

A: To find the general solution of the linear system y' = A y, we first need to find the eigenvalues…

Q: For the system, 6 -1 Y' = Y 5 4 Write the natural period of the oscillations, round the answer to…

A:

Q: Find the solution. (dy/dx) + xy = xy³ A x = (ce-²-1) By = (ce²+1) 7² y = (ce x²-1) x = (ce)² + 1) ²…

A: We have given a differential equation ,  dydx + xy = xy3 Multiply throughout by dx ,  dy + xy dx =…