Weite the ougueakdimatrik.of the fallounng syskem of equations. + 32o 7.

Q: Solve the difference equation Ywa + 2y, = 0 (k > 0) given that y, = 1 and y, = ,2.

A: Write characteristic equation then solve

Q: Which equation is equivalent to 8x + 2y= 10? %3D Oy=-+5 Oy= x+5 O y = -4x + 5 y = = 4x + 5

A: Given equation: 8x+2y=10

Q: y" + 6y' + 8y = 3e-2 + 2x

A: To solve the differential equation

Q: Find a, b, c belongs to R, that satisfies the equations  a+b+c=63 and ab+bc+ac=2021

A: Given that a+b+c=63,    and    ab+bc+ac=2021. To find the value of a, b, c that belongs to real…

Q: 3. Which equation is the standard form a- 4y + 6x – 8y+1= 0?

A: Given,            x2-4y2+6x-8y+1=0To find : Write the equation in standard form.

Q: 2x+2y=18 x=3-y  What is the solution as a coordinate?

A:

Q: y = e"(1 – y²), y(0) =

A: We will find out the required solution for given differential equation.

Q: The solution s (t) = -gt2 + vot + so for the displacement of an object in vertical motion with no…

A: We know that  (x + y)2 = x2 +2xy + y2 Also (x - y)2 = x2 - 2xy + y2

Q: Solve the difference equation A?yn + 3Ayn – 4yn = n² %3D with the initial conditions yo = 0, y, = 2.…

A:

Q: 2. The Auxiliary Equation : (4D - 4D' - 23D² +12D+36)y = 0

A: The given auxiliary equation is 4D4-4D3-23D2+12D+36y=0. The objective is to find the solution.

Q: Which of the following equations is an example of a quadratic equation? Oy=*-5 y%= Oy=x-5 Oy= 16x…

A: In this question we have to find the equation of quadratic equation. In quadratic equation variable…

Q: (a) Find the general solution of the following equation: y(3) – 4y" + 13y' = 30e + 26.

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Q: Applying auxiliary equation to find the general solution. y "– 7 y"-18y = 0

A:

Q: Consider the equation I1 +2 +13 = 25 where r1, r2, r3 € Z.

A: Consider the given equation: x1+x2+x3=25 His aim is to find the solutions for x1≥0, x2≥-3, x3≥0 and…

Q: D.E Solve the Fo llowing %3D

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Q: Solve the equation (D² – 3D + 2) y = 2e¬* + 8 O y = cje2x + C2xe¯* + 4 + ze* O y = cje2x + cze² + 4…

A:

Q: Solve ,analyticaly, the fallowing a ifferenceregss Y(k)+ Y(k=)-üyck-2)-44(k-3)3U(k) yL-1).=yc-2).-…

A: Solution a: Given difference equation  y(k)+y(k-1)-4y(k-2)-4y(k-3)=u(k)                  (1)…

Q: 2. For x 2 0, which equation is false? 3, 2 (x) = V3 А. X2 %3D B. (x³) = Vx3 c. (x) = Vx3 ( = С. X2…

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Q: 1J=-2 and y= 2

A:

Q: A. Solve the following equations algebralcally and check for extraneous solutlons. Verlfy your…

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Q: Q4/Find x and y that make the equations equal to zero: 5x+2y-4=0 6x+8y-2=0

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Q: General solution of diff. equation is writter eveluate P. y= CIX + C2X c2+d 2 メーー15×y' +60y -0 %3D

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Q: 3. f(x) = a = 4 %3D V-2

A:

Q: Solve the non-linear equation x2 = 2y + 10 Зх — у %3D 9 y = |

A: We have givenx2 =2y +10             ⋯⋯⋯⋯(i)3x -y = 9                ..........(ii)From (ii)we get…

Q: The equation æ? + y² – z² = 1 in R³ describes %3D

A: Find your answer below

Q: a) For x 2 0, which equation is false? (xi)* = V Vx3 (1) X2 %3D

A: For (1),  x232=x43=x43

Q: The solution of the IVP, y' = -2xy, y(0) = 2, is: %3D

A:

Q: If an answer does not exist, enter DNE.) 2x2 + 3 y%3D 7x2 + 20x - 3

A:

Q: (a) Find the general solution of the following equation: y(3) – 3y' + 2y = = -2x + 6e" + 3.

A: We have to solve

Q: Name the intersection of CX and AB.

A: According to given figure CX and AB are not intersecting which means there is no intersection point…

Q: Solve the equation: W = ;a – 3d for a. Oa = 2W + 3d Oa = W+3d 2 Oa = 3wd 2

A: We have to solve for a

Q: Q6- By using Direct metheds solve the lineair algebric Equatione- 15 X + 3 y + 27 = 85 X - 2 y + 82=…

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Q: 3sin(2x)+ 1dr dæ 8x +9

A: We have to integrate.

Q: se elimination to sel of equations 4x+ 5y=6 6x-7y = -20

A:

Q: True or False The equation 3x + 4y = 6 is written in general form.

A: The general form of a linear equation is ax+by+c=0. Where a, b and c are the constant. For example,…

Q: Solve the simultaneous equations y = 2x – 3 x² + y? = 41 Show clear algebraic working.

A: Given equations are y=2x-3 and x2+y2=41.

Q: –10x Given an equation x³ – y3 = 5, show that y" = y5

A:

Q: b. Solve the simultaneous equations sy = 2x – 3 lx? + y? = 2 Show clear algebraic working

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Q: Q: Discuss the nature of the quadratic form x'+4xy+6xz-y+2yz+4z

A: Given problem is :

Q: A Find the general Solution of y"ty=2xcorx -Cosx %3D

A:

Q: Find the solution. (D5- 2D3- 202- 3D - 2ly = 0. A y - (e,+ele. O y - (e,+e

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Q: D+3D+2 -2x Ae +Be -X %3D

A:

Q: Which is the equation of oB? 41 -2 A. (x- 2)2 + y² = 16 OB. (x+2)2 + y? = 16 3D16 O C. (x-2)² - y2 =…

A: Solve the following

Q: %3D What is the solution to the equation 4 + 2y 6? O y= 1 O y =4 O y = 500 О у%3D 2000

A: we have been given the equation 4+2y3=6 and we have to find the value of y

Q: Ex.: Solve (2D+3D-9)x+(D² +7D-14) = 4 (D+1)x+(D+2)y= 0 (2)

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Q: Solve the pollowing vyrtemr of equationN uring matricar a. ex tytz =4 X-24 +32=7 -3x tây-22=-10

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: Solve the following difference equations y+2t 6y,+1+9y, = 2", yo = 0,y, = 0

A: Given Difference equation is:    yn+2+6yn+1+9yn=2n, y0=0, y1=0 ⇒(E2+6E+9)yn=2nA.E  : E2+6E+9=0…

Q: 3) xle), ale), zl4) genecal solutions? 3x+G4-22 %3D - 2y

A: