Find a general solution to the system. 344 x'(t)= 4 3 4 x(t)+ 443 [Hint: Try xp (t)=e¹a+te¯¹b+c.] 1 111 x(t) = C₁1 e¹1t+C₂ 1 -1 -20-11et -20-16e-t -15-21e-t 1 1 7 1 0 0e²¹+₂ C3

Q: Q1: Write down the form of the particular solution of: y(5). 3y(4).y(2)+3y(1) = x² + xe *

A: The given differential equation is: y(5)-3y(4)-y(2)+3y(1)=x2+xex

Q: Find the solution. (D2+4D+4)y=0; when x =0, y=1, y'=-1. Ay = (1 – x)e2r y = (2 + 3x)e- y = (1 +…

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Q: Show your solution: Given: y'' + 3xy' + 7y = 0 Question:Which of the following is the expression…

A: The given problem is to find the recurrence relation for a2k+1 in terms of a1 for the given…

Q: Find a particular solution, y,(x), of y(ª – y" = 12e3 – 5x + 2. -

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Q: 2. Find the general solution of x?(y + 1) dx + y² (x – 1) dy = 0 x2 - y? + 2x x2 + y2 - 2x - 2y +…

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Q: Use reduction of order method to solve + = 0, given that one solution is g(x)= e. Find first 1/2(t)…

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Q: Find the intersection points for the syster below: f (x) = 2(x+4)² – 15 8(x) - 4x² + 15x – 15 -…

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Q: Solve the ODE (e³ + 1)²e-³dx + (eª + 1)³e-ªdy = 0, y(0) = − = -4 by separation of variables.

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Q: f(x)% 3Dg(x): What is the solution to O x = 0 O x = 1 5. Ox= 2 4- f(x) O x = 4 3- 2- 1- g(x) -5 -4…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: 4. Find the general solution of (x³ + y³) dx = 3xy? dy A. -3x3 + 2y3 Cx B. 7x3 + 2y3 = Cx C. -6x3 -…

A: According to question, Given differential equation, x3 + y3 dx = 3xy2 dy

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: -x2 + 9x + 6 p = d(x) p = s(x) = 12x - 22 where x is the number of thousands of jerseys and p is the…

A: For equilibrium  quantity d(x)=s(x)

Q: æ' = 2) 4e x + %3D -4 3 2e er the associated homogeneous system

A: Given, x'=-12-43x+4et2e2. Find eigenvalues corresponding to the matrix A.…

Q: Find a general solution to the system. 122 -6-9e-t x' (t) = 2 1 2 x(t) +-6-10e-t 221 -3-11e-t

A: Given : system of non-homogeneous differential equations    x't=122212221xt+-6-9e-t-6-10e-t-3-11e-t…

Q: Q2. Consider the system below y[n] xa(t) C/D H(@) T Where T = 0.001s and |w] < 0.57 to otherwise…

A: output of C/D block will be:

Q: Use the substitution method to show that the solution of T(n) = 2T(n/3) + n2is O(n2)

A: Given that T(n)=2Tn3+n2 To show that it is O(n2).

Q: If you take the first equation and solve for x2 you obtain: x₂ = x₁x²₁ 2 Of course, the derivative…

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Q: 2x- (ii) Given aty=b²x-y and a 4x+3 = bx-5y, show that 3y-6x=7x² +5y²

A: (ii) Given ax+y=b2x-y and a4x+3=bx-5y We will use logarithm properties to solve the given:

Q: ÿ + ý – 2y = e2t %3D y(0) 0, У (0) 3D 1 %3D

A: Given,y'' +y' -2y=e2t,   y0=0,   y'0=1Complementary solutionAuxiliary Equationm2+m-2=0m=1,…

Q: Solve using the chain rule f(x) = 6/2x – 5 12 A. 6V2x- 5 В. 2х-5 6. C. 12x/2x –5 С. D. V2x-5 - O A O…

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Q: Obtain a family of solutions. 1. (x-y)(4x+y) dx + x(5x-y) dy =0 Ans: x(y+x)² = c(y-2x) Show complete…

A: Given: The differential equation is given as (x-y)(4x+y)dx+x(5x-y)dy=0. The aim is to find the…

Q: If f(x) = and g(x) = 2x, then the solution set of (fog)(x) = (go f)(x) is Select one: Oa. O a. O b.…

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Q: 8.53. Solve the following systems by deteminants: ( 2x-5y+2z 2 x+ 2y - 4: = 5, 3x - 4y - 62 =1 (a)

A: Given system  2x-5y+2z=2x+2y-4z=53x-4y-6z=1

Q: Find the general solutions of the system. 500 x' = 4 9 4 X 0 0 5 x(t) =

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Q: What is the solution to the equation x-5 =x+7? Justify your work mathematically. problems 15- 23,…

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Q: Find the general solution of the equation ¤(x – 1)y" – (2x – 1)y' + 2y = 0 by the reducing the…

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Q: (D² -2D-3)y = 0: when x = 0. y = 0. y= 4 A y=e+e By=e- y = -e- -2 Dy=e-3-et y = e

A: The given differential equation  D2-2D-3y=0 is a homogeneous linear differential equation with…

Q: Find the general solution of y = 3 (y – 20). (Use symbolic notation and fractions where needed. Use…

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Q: Can you solve the system of equations  dx/dy = [ 15   - 18 ]             [   12  -15  ] when it…

A: Solution:  Given that

Q: Xị + sx2 = 1 %3D 2.x1 + 3x2 = t %3D where s,t e R. Select the values of s andt for which the system…

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Q: 1. Find x and y so that (a) x = 4, y = -14 (b) x = 5, y = -5 (c) x = 3, y=-11/3 (d) x = -5, y = -15…

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Q: Find the general solutions of the system. 5 0 0 x' =-1 6 1X 0 0 5 x(t) =

A: Let x'=Ax be a system of homogeneous linear differential equations, where A is a square matrix of…

Q: Find the Annihilator of the given function(s) f(x)= x + xcos(2x) a. D²(D²+4) b. D² (D²+4)² C. D(D² +…

A: f(x)=x+xcos(2x)annihilator operator of x is D2annihilator operator of cos(ax)=D2+a2

Q: x(1) = c1 e²r 2 + c2e The initial condition is x(0) = [3, -3]". Apply this initial condition to find…

A: substitute t=0 in the given equation for finding particular solution

Q: Demand for a certain kind of SUV obeys the following equation, D(x, y)  =  22,000 − 1 2 √ x− 5(0.6y…

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Q: Determine the particular solution for (m-n)dm+(3m+n)dy=0 when m=1/2 and n=-2.

A: Given,  (m-n)dm+(3m+n)dn=0 And when m=1/2 and n=-2