Find the 23 dx dt general solution of the system = 3x -y-z dy = x + y - z dt dz = x-y+z dt

Q: Solve system of linear DEs  dx/dt+dy/dt+2y+6y=2e^t 2dx/dt+3dy/dt+3x+8y=-1

A: To solve dxdt+dydt+2x+6y=2et2dxdt+3dydt+3x+8y=-1

Q: (du/dt)^3 – (du/dt)^2 – 2u = 0

A: Given: (du/dt)^3 – (du/dt)^2 – 2u = 0 Find : solve the differential equation

Q: The system dx/dt = x + y, dy/dt = x + 2y + 1 has a constant solution. true or false?

A: dx/dt = x + y,dy/dt = x + 2y + 1

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: y=1-x^2 y=x^2-1 Find the two solutions of the system when x0

A: Given: y=1-x2 and y=x2-1 To find the solution of the given system we have to equate both the…

Q: Use the elimination method to find a general solution for the given linear system, where…

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Q: ду Find ду and when dz (a) y = 6 + 3x + 16z + 4x2 + 2z2 (b) y = 14x2 (c) y = 9 + 4xz - 3x2 %3D

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Q: Solve the equation xydx - (x + 2y)2dy = o A ewy = cy³ (xy) B ewy = c y³ (x-y) c) exy = c y³ (x+y) D…

A: Given : Note : There is a print mistake in the given equation it must be written as : Differential…

Q: Solve zx+zzy= 2x, z(0, y) = y

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Q: Solve the system of equations 3 dx 2 dy -x+y=t-1 +2 dt dt dx dy dt dt + -x=t+2

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Q: Differentiate y = (2х + 1) а. 2 y = (2х + 1) b. 1 y = 2/(2х + 1) 1 y = (2х + 1) d. y = (2х + 1) е.…

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Q: system

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Q: How many critical points are there? What is the critical point with the largest x-coordinate? ). u =…

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Q: Which of the following equation is a variable separable DE? a. (x + x^2y) dy = (2x + xy^2) dx b. (x…

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Q: 3X ジ+ 5y+4 -2X -3e+キe मै -29 +8 ジ x ーズ %3D 12)

A:

Q: (2x-3y+6)dx-(4x-6y+2)dy=0 in Linear two variables with POI

A: Here, the given differential equation is: (2x-3y+6)dx-(4x-6y+2)dy=0 The equation can be written as:…

Q: x² + 3x + 2 y' = y(1) = 4 у — 2

A: y'=x2+3x+y-2 ; y(1)=4

Q: dx + 2x + + 6y = 2e' dt dt dx 3x +3. dt 2.+ + 8y = -1 dy dt

A: The given equation can be re- written as:

Q: Condider the system of equations given by x' = (matrix)x. Find the matrix exponential of the system.

A: The given system is Part A-To find fundamental matrix first we find the eigenvalues and…

Q: Classify (if possible) each critical point of the nonlinear system: x' = xy − 3y - 4 - y' = xy - y

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Q: 5e- 2e- |-7e-/ X = Find dX/dt of Matrix:

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Q: udx + (1 - 3u)x du = 3u du.

A: I have stated the used formulas in the solution

Q: Sel+x3/2 Vx dx ,1+3 X,

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Q: rtan r d Vt3 +4 dt dx 1/a

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Q: However, there are likely both lynx and hares around at the same time. We will model interactions…

A: Given a system of equations dHdt=aH-cHLdLdt=-bL+dHL where a,b,c,d are positive constants.

Q: Find a general solution of the system: אז x' = = 1/2 = 21 *

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Q: 2t +1 lt +8 -dt + 4t +4t 3

A: Let's find.