The system dN1 2 N1+2N2 dt dN2 3 N2 3N1 + N2 %3D 1- dt 4 7 14 5' 5 has the equilibrium points (0,0), (0,7), (7,0) and Which of them are stable? o (0,7) - (0,0) - ( - (7,0) 7 14 5' 5

Q: What is the standard form of this linear equation in one variable: (y + 1)dx + (4x − y)dy = 0? |…

A:

Q: From the following equations identify if they are ODE, the dependent and independent variable as…

A: An equation which involves derivatives and there is a relation between dependent and independent…

Q: Find the solution. 4y" - 9y = 0 Fi A y =c,e (D y =c,e/½+c,e"/½ © y =c,e Dy =c,e

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: O. In question number 19. what is its particular solution? D2 - D- 2)y =1- 2x – 9e-*

A: We are given the differential equation is  (D2-D-2)y=1-2x-9e-x we have to find the particular…

Q: Proof. (a) Firstly, from (1), we get 2m+1 < Nm-(7g+6) for n e N, we get that there exist lim…

A: The complete solutions are given below

Q: y-3y" + y' + 5y =

A:

Q: dx -7- +dd 24-y=3t73t 6t-3e

A: The given first order linear system of equation can be written as: D+2x+D−1y=3t2−3e−t…

Q: X - X UIS dx ? %3D 22n „(1-)3 (e) (2n).(2n)! I=u (c) (-1)" (2n+1).(2n+1)! -3 (P) I=u I=u 2n K (a)…

A:

Q: 3. fy dy + 10g = e + dt +7 -2t

A:

Q: Find the equilibrium point. D(x) = 7- 8x, S(x) = 3 + 8x

A: Equilibrium point is the point at which demand and supply function intersects. That means at…

Q: With the understanding that D = , find a complete solution of the dt following: (D + 5)x + (D + 3)y…

A: Given: D+5x+D+3y=e-t      ....(1)and   D+2x+D+1y=3        ....(2)On solving (1) and (2) we…

Q: Г3 4 -27 Q2. a) Suppose A=|2 1 1 2 – 4 and b(t) =| 0 then find the solutions of the given dX system…

A:

Q: Assuming that a DE has a general solution a+y= 3r +C, what is the particular solution at given the…

A: The given differential equation has a general solution is x+y=3x+C. Calculate the particular…

Q: 13 |X + 3 1 O A. [ at2 + bt + c° dt2 + et +f O B. at + b ct + d O C.[ at2 + bt + c dt + e

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Obtain the general solution unless otherwise instructed A. LINEAR EQUATIONS WITH CONSTANT…

A: Note:- These are multiple questions and according to our company guideline we can do maximum one…

Q: (a) Verify that yp, = 3e2* and y,, =x² + 3x are, respectively, particular solutions of y" – 6y' + 5y…

A: To verify the given statement and to find particular solutions by using the given statement.

Q: 02/ The following system of equations is designed to determine concentrations (the c's in g/m²) in a…

A:

Q: The solution of dy dx 2xy = x2 + 3y? when y(1) = 3 23 + 10y3 = a? a3 + y = 10x2 Option 1 Option 2 23…

A:

Q: b) y(4) + y(3) – 7y(2) – y' + 6y = 0. c) y(4) – y(3) – 7y(2) + y' + 6y = 0.

A: Solve the given differential equation Here I am giving answer of 1 st problem if you want answer of…

Q: Considerthe linear DE y-y=4e". According to the undetermined coefficient method, the particular…

A: The given linear differential equation is y"-y=4ex. The general solution of the differential…

Q: Find the solution of BVP ۱۰uny U₂+2; u(0,4)=0 2 ux (2,0) = X₂

A: As per the question we are given the following boundary value problem (BVP) : uxy = ux + 2  ;…

Q: Q4) (Second order linear equations, Undetermined coefficients) Solve the following initial value…

A: Since you have asked multiple  questions  we will solve the first question  for you. To get any…

Q: (D³ – 4D)y = 0 is ® y = (C, +C,x)e* + C;e** + C,e** ° y = C, + C,x + C;e * o y = C, +C,e²* + C;e²*…

A:

Q: he equilibrium pul 12) P(x) = -2x + 8, S(x) = 3x + 2 %3D

A:

Q: For each of the following linear difference equations, please find an expression for yn, the…

A: Answer :-

Q: Consider the difference equation AP = 0.2P(1 - P/20). (a) Find the equilibrium values for the…

A: As per the question we are given the following discrete dynamic system :And we have to find :(a) its…

Q: (1) 2x+4y+ z = -4 (2) 4x-2y+z= 6 (3) 2x - 4y+ 6z=13

A:

Q: Find the general solution of the given ODE dy x + 2y - 3 2+y−3 = dx (x + y)² = C(x + y − 2) Option 1…

A:

Q: 13. [P] Particle 1 starts at point (3, 1, 1) and particle 2 starts at point (10, 5, -4); at t = 0,…

A:

Q: A car is driving away from the base of a 30-meter-tall building. y 30 metres Car (a) Which of the…

A: We have given right angle triangle  Using Pythagoras theorem  (Hypotenuse)^2 = (Perpendicular)^2 +…

Q: Find the general solution to(D5 - 2D3 -2D² – 3D – 2)y=0 O y= e-X(C1 + C2x) + C3e2X + C4cosx + C5sinx…

A: