A -8 ANTONIO: BELINDA: y – 4 = - x – 5) 4- -3- 2 1 CARTER: x+ 2y 14 %3D 2 3 4 5 6 78 DREW: y = 12x + 10 654 32

Q: -2 -4 2. A= 2. Find cigen Vale 4 2. and eijen Veetor

A: We need to find eigen value and eigen vector.

Q: 2хy -y' y2-x2 a. 3yx? + y3 = k Зух? — Зу3 c. 3yx? - y3 =k d. yx? – y = k e. Not in the list. b. %3D…

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Q: Simplify the expression.

A: By using the following rules am.an=am+n1am=a-ma0=1

Q: 1. x – 3x?y = c 2. y = c + ¬4x Cze

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Q: y = Ce 2 + Cze-3r +7z Oy/" + - 6y+42-7 0 O y" +y - 6y+38r – 5 = 0 O y" +y - 6y+ 40r -9 = 0 O y" + -…

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Q: y= C1e + C2e-3z +2x O y' +y-6y+14z - 6=0 O y +y-6y+ 12z-2 0 O y +y-6y + 16z-4 0 O y' +y -6y+ 10z - 8…

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Q: y"' + 3y" + 4y' + 2y = 0, y(0) = 1, y'(0) = 1, y"(0) = 2

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Q: X-1 x-1 3 2 For what values of x, -2 x-4 -4 =0 d with CamScanner -1 x-2

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Q: y" +y = 3 et/2) y(0) = 4 y(0) = 3

A: Second order non Homogeneous differential equation

Q: E CD a +b+c+d=O (2) d 2 d=6 = 0 -26-c-2d=

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Q: 3 3. y' for y² = x²y³

A: to find out the derivative

Q: 3.2 y" – 2y' + 5 = -8e¬X, y(0) = 2 and y'(0) = 12.

A: Given y" - 2y' + 5 = -8e-x

Q: Find the area of the unbounded shaded region.

A: Find the area of the unbounded shaded region.

Q: Simplify the expression.

A: The addition or subtraction of exponent depends on the numerator, consider multiplication as…

Q: 2. d-4 d+9 2d a²+3d-28

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Q: y"-6y' + 13y = 0, y(1) = 5, y'(4) = 7 %3D

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Q: || (6 y x - 2 y³ ) d A R=[1,4]×[0,3] R .A 9. 2 .B .C 9 .D 9

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

Q: 3x?y dæ + (yA – æ³) dy = 0 O 3a³ + y4 = Cy 2x3 – y4 = Cy %3D O 3x? + y3 = Cy 3a3 – y4 = Cy |

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Q: Σ(Υ – c)2 X₁= 12 Y₁ = 4 c = 2 X₂= 8 Y₂ = 9 X₁= 4 Y₁ = 6 X= 12 Y₁ = 3 X₁-11 Y₁ - 2 Your Answer:

A: Given: X1 = 12 Y1 = 4 c = 2 X2 = 8 Y2 = 9   X3 = 4 Y3 = 6   X4 = 12 Y4 = 3   X5 = 11 Y5 =…

Q: 3rps + 2p3-4 2rp- Sps -6rp (10r ps -6p t

A: The problem is related to basic Algebraic simplication

Q: a) (2² – ry) dA, A= {(r; y) E R² : x € [0, 1], y e [2x², 2/]};

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Q: X. a. y> ]x + 4|- 4 b. y> ]x - 4| + 4 c. y< |x + 4|-4 d. y< |x- 4| + 4

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Q: If 4x - Зу 3 -18 аnd 6x + 7y -4, then what is the value of y? .a y = - 3 .b y = - 2 %D .C y = 3 %3D…

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Q: 9. If y = V-Ix|, then Df: (a) R\{0} (b) R %3D

A: we have to find the domain of y.  We know that y=√f(x) exists if f(x) &gt;=0

Q: Match the equation with its graph.

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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: x+y=5 2x-y=7 Select one: a. x=1, y=4 b. x=1, y=2 C. с. x=2, y=1 d. x=4, y=1

A: Given equation are  x+y=5 2x-y=7 First we can add the both equation.From that we will get X value…

Q: 1 y" + 3y' - 18y = 0 2 y"-14y' +49y = 0 y" + 2y' +10y = 0 y"" — 7y — бу = 0 3

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Q: If y = 3 x + 1, then y 2 = _____

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Q: O A. y = -9 O B. x = -6 C. x = -9 O D. y = -6

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Q: · y" – 4y' + 4y = °, y(0) = 1, y'(0) = 0

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Q: A+C=0 -4A+B – 8C + D=1 3A+16C – 8D = -2 194 1 3RI 16D -K RRL 16D –

A: Given  we have given the equations A+C = 0-4A+B-8C+D=13A+16C-8D =-29-12A+3B+16D=5 we have to find A,…

Q: 7. Find : y = (x* = 5«)a0n 5x, (b). y = x2

A: We can find the derivative as below

Q: a. y=(x-2)² - 3 b. y=(x+3)² +2 X c. y=-(x-3)² + 2 d. y=-(x - 2)² + 3

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Q: y = -x+2 y = 3x - 4 Choose 1 answer: 3 1 (A 29 1 B 1 I = C 219 = 2 | 2 312 512 1/2 %3D 5.

A: y=-x+2  ....(1)y=3x-4  ....(2)

Q: (a) (5 points) y = 5e² – 3x+17 (b) (5 points) y = –7e" + ex? (c) (5 points) y = 4lnx – 2xª (d) (5…

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Q: 3 (b) (c) 5²8y0. 3x-2y-2=0 2-y-60

A: Given three homogenous linear equation. We have to compute the vector subspace of the solutions of…

Q: а. (-2)4 —24 b. (x)° = 1, assume xeR -2 С. 2)

A: We have to find true or false. a) (-2)4≠-24 We take L.H.S. of given expression -…

Q: 4. y'%3 х — 4у, when x %3D 2,у %3D 3

A: Here we solve the linear differential equations.

Q: If y* = e* , then y equals (A y3 - 2y (B - 2x y3 D (E) none of the given choices

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Q: e) x³y" - 6xy' +12y = 20x¹, x > 0, y(1) = , y'(1) = 5, y"(1) = 14

A: e Given differential equation is x3y'''−6xy'+12y=20x4.......1, y1=83,y'1=503 and y''1=14. We have to…

Q: A. y = (x – 2)² +2 B. y = -(x – 2)² + 2 C. y = (x – 2)2 + 2 D. y = -(x – 2)² – 2 10 12

A: According to the Bartleby guidelines only one question can be solved at one time, post the remaining…

Q: y" + 2y' + y 5x, y(0) = 0, y(1) = 0; n = 5 %3D

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

Q: -2 -4 2. A= 2. Find cigen Vale 4. 2. and eiJen Veetor

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Q: { 2xy? 9x2 + y4 (x, y) # (0,0) f (x, y) = (x, y) = (0,0)

A: We will discuss limit by using different paths.

Q: 3. y" + 2y + y = 0, y(0) = 3, y'(0) = –1

A: If the rootsm1, m2=m of the auxiliary equations are real and same , then the complete solution is…

Q: A. y =(x- 2) B. y = -x- 2) C. y =(x+ 2)? D. y = -x + 2)? A. y = -4(x + 2)² +1 B. y = -4(x – 2)² – 1…

A: (7).         Vertex is (-2,-2)                      y = -12x+22                               Answer…

Q: 2 [3 B = | 0 1 [1 21 -2 3 Let A 4 C = 14 -1, and D = || y -2. Lw 3 -5] 4

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Q: 2x3 + xy? x² + 2y4 if (x, y) # (0,0) if (x, y) = (0,0).

A: See the details solution in below

Q: (3ry- 1) dr + (x³ + 6y – y?) dy = 0 y(0) = 3

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.