using eigenvalues, find the general solution to the following system of equations.  x' = x+y y' = -2x-y

Q: Solve the system d = dt with a1 (0) = 1 and æ2(0) = -1. %3D

A: The given system of differential equation: x1'x2'=   0-1-1   0 x1x2+t0  ;        x1(0)x2(0)=1-1

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

A: Given,           x'=2-13-2x+1-1et

Q: Determine the general solution of the system of linear differential equations: 2x1 +₂ 5x1-2x2 x₁ x₂

A:

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: rential equations f

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: dz dt 0 1 10 z + 1 1

A:

Q: 47x +75y -30x - 48y satisfying the initial conditions r(0) = 19 and ly' y(0) 12. x(t) = y(t) =

A: Given equations  are  x'=47x+75yy'=-30x-48y  with the initial conditions x0=19 and y0=-12 To find…

Q: -2 3 ㄴ X " dx ㅜ

A:

Q: yı = 1 + a3x³ + a6x° + + azx3 y2 = x + b4x* + b7x' + .. Enter the first few coefficients: Az = -1/3…

A: We have to find given values:

Q: Find the general solution: y'- y |arctg2=1.

A: Hello, thanks for your question but according to our policy I am doing the very first question.…

Q: Solve ylk + 2) + 2yjk + 1} + v[k] = 0 if y[-1] = 1, y[–2] = 1 %3D

A: Given,                            y[k+2]+2y[k+1]+y[k]=0                               ...(1)…

Q: Solve the system 3 9 da dt -1 -3 with æ (0) Give your solution in real form.

A:

Q: メ= 6X-24 =-2メ+3y

A:

Q: Solve y+y = 1, y (0) = 4 Oy² = 1 +7e-² Oy = 1+7e-² Oy² = 1 +7e-² Oy = 1+5e-² Oy = 1+7e²

A:

Q: -"(x) + 2»'(x) - 3v(x) =D -글 + 1 + 2r2 + 4r-1

A: Step:-1 Given that  -v''x+2v'x-3vx=-2x2+1x+2x2+4x-1 This is second order non homogeneous…

Q: y₁=1+a3x³ + arº +... Y₂ = x + b₁x¹ + b₁x² + ... Enter the first few coefficients: a3 = a6 = b₁ b7 )…

A:

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

A:

Q: Find a root of the system of non- linear equations x +y = 3; xy 1 by Newton's method starting with…

A: here we need to find the root of given equation using newton's method. the solution is following.

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: USING ELGEN VALUE x' SOLve EIGEN VECIOR 2'

A:

Q: Solve the following equations system 0.17 – j0.2V, =1 - j0.2V, +(0.2+ j0.3)V, = j0.5 V,= 3.3333 +…

A:

Q: dy = 3x – Y dt dx 4x + 2y, dt (i) Show that x(t) = 10e5t –- e-2t and y(t) = 5e5t + 3e2t form a…

A:

Q: +z-y=3e' %3D dt dr dy + 2r+2y= e' dt dt

A:

Q: Find the solution of the differential equation system

A:

Q: X' -1 et x + 3 -2

A:

Q: Determine all the solutions. Find the solution that passes through the orgin y' = 2x + y + 1 x + 2y…

A:

Q: - u"(x) + 2u'(x) – u(x) = - +-x' + 5x – 4 - "(포) + 2»'(x) - 3v(x) =D -를 + 1 + 272 +4r-1

A: