-5х + 8у%3-24 y = 6x – 3 %3D (1, 3) (-1, 3) (0, -3) (1, -3)

Q: 13) y"-3y'+2y"e

A:

Q: -4 -2 -D2 A 2x + 6y = -8 B. -2x + 6y = -8 C. 3x + 4y = -12 D. 4x +3y = -24

A:

Q: 11) x+ y<2 4x + y< -1

A: Given that

Q: z-1 Sc dz, E C ez -3z

A: ez=1+z+z22!+z33!+---+znn! Cauchy integral test ∫Cfzdz=2πilimz→z0fz0 if zeros lies in C. ∫Cfzdz=0 if…

Q: 11C, + C, = -27830.1 C1 - C3 = 1035 6C1 – 6C3 - C4 = 3348 C3 - Cs = 2025 9C3 + C4 – 9C5 – C6 = 12150

A: To Solve for C1, C3, C4, C5, &amp; C6.

Q: у) -у— 11 %3D 0

A:

Q: 5. y' = -4x/y, y(2) = 3 %3D %3D |

A:

Q: a) x³y" - x²y" + 2xy' - 2y = 0, x > 0, y(1) = -1, y'(1) = -3, y" (1) = 1

A: (a) To Solve: x3y'''-x2y''+2xy'-2y=0, x&gt;0, y1=-1, y'1=-3, y''1=1   (b) To Solve:…

Q: Solve the system:

A: Given system can be written as, 5-2-4332-253=3-33 By Cramer's Rule,…

Q: Step 1: Step 2: Step 3: Step 4: 50 40x + 9x - 7=0 50+ (-40x + 9x) - 7 = 0 50+ (-40 + 9)x - 7 = 0 50+…

A: Now, we adding the additive inverse of 43. So,                 -31x+43-43=0-43⇒-31x=-43⇒x=4331

Q: 1. (x - 2) 2 + (y - 4) 2 = 36 %3D

A: You are asked multiple questions. As per the guideline I can solve only one. Please repost others.

Q: y3 = 17 | 3xª + 5y3 = 53

A: x4+y3=17 3x4+5y3=53

Q: + 2y2 - 42

A:

Q: 2 – |- 2(x + 1) – –s-+ 3x X-3 5х-3

A:

Q: -2(x - 5) + 6 = 12 -2x- 10 + 6 = 12 %3D %3D -2x - 16 = 12 -2x =28 %3D X 14

A:

Q: y = 4x + 2 %3D y = x - 1

A: Given: y=4x+2y=x-1

Q: Yn - 7yn-1+ 10 yn-2 0 with y-1 = 16 and y-2 = 5. %3D

A:

Q: 2x,+x,-7 X; + Xz - 3x, = -10 6x, – 2x3 + X4 = 7 %3D 2x, – 3x, =13 =D13 |

A:

Q: H= V 19 |- 2S |-2S VOLUME = 3

A: Given:       Diagram and length is given.

Q: y-HY + 3Y=0

A:

Q: %3D 7x + 4y = 23

A: Given system of equations are (-2x+2y = 6)*2 &gt;&gt; -4x+4y = 12------A   7x+4y = 23--------B Now…

Q: 4x+7x=6te 5t+e-3t x(0)=5

A: Consider the differential equation, 4x˙+7x=6te-5t+e-3t   ;       x0=5 This is a Linear Differential…

Q: =- 2z = 2, -2v+z3D +z=

A:

Q: -4 -3 2 -1 -1 4 -2. -3+ y = x2 - 4 A y = x2 - 4x y = x'- 4 y = 23 4x - ©2021 Illuminate Education…

A: our answer is y=x3-4x

Q: A) (x+ 1)² + (y - 3) < 400 B) (x + 1)2 + (y-3)2 400 C) (x- 1)2 + (y-3)2 2 400 D) (x-1)2+ (y + 3)2 <…

A:

Q: Activity 3.

A: Question :  Who is the Belgian mathematician who first applied the normal distribution to human…

Q: 10a b*c a*b* 10x'y xy 51-5y@z-2 xZ5 ,6 Sa-$68c-2 a³b²

A:

Q: 10) y= 8x+ 24 y%3D2X+ 6 A) (-3, 0) C) (0, -3) B) (-4, -s D) (3, 0)

A:

Q: Use matrices to solve the system.

A: 2x-3y+z=23z+2y-z=-55x-2y+z=0 The given system can be written in matrix form as, A=2  -3     13     2…

Q: D-1, 1, 2 D-2, -1, 1 D-3, -1, 1 D-1, 1, 3

A: Find zeros.

Q: 20) (x +1)yy' = 1, y(0) =-3

A:

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

A:

Q: y = 2x + 3 ir x +y = - 3 3y = 9x- 6 2y - 6x = 4

A:

Q: 4x2-5y2 If x 4, y = 2 and z = - 2, evaluate %3D y-z

A: In order to evaluate value of function at some point, Substitute given point in the function to get…

Q: 4e*-3dx -12 O a. 4(e-1-e-12) O b. (e--e42) O c. 4(0² -e42) O d. O e. 4(e--e)

A:

Q: -5x 2. バ+5y=15x → Y=×- ユメ金 25 aフ+1つ X

A:

Q: Use matrices to solve the system.

A: Note that given system has 2 equations but 3 variables. Therefore, it may have infinitely many…

Q: 3. 3 1 S (2x - 4y)dydx 1 -1

A:

Q: 3x y + z = =) = 1.

A:

Q: 4. (3x – y)2 = 6x + 2y + 23 @ (1,-2) 5. x(x² – y²) = 3 @ (-1,2)

A: 4) (3x-y)2=6x+2y+23, @(1,-2) 5)x(x2-y2)=3, @(-1,2).

Q: b. (1.2e* – 2.5)xdx -

A: The given problem is to estimate the given integral using modified trapezoidal rule, 1/3 Simpsons…

Q: Evaluate ³*-2 dx 3x-2 e³x-2 + C O (3x-2) e³x-2 +C Ⓒ (3x-2) Ce³x-2 3x-2 3 + C

A:

Q: y" - 3y' + 2y = 5e³*; Y, = = e*

A: The differential equation y''-3y'+2y=5e3xwithy1=ex is the one of solution of associated homogeneous…

Q: [2x²ydx +xyd es (0, 0), (2, 2) a

A:

Q: (-x, x<-4 6) w(x) = {-1, -4 < x< 2 %3D -x+4, x2 2

A: Draw the lines as given formulate a table for the values and proceed.

Q: 1) ys-x- 2 y2-5x + 2

A: Since you have posted multiple questions so according to our guideline we will solve the first…

Q: 1 e*(6x-15x² +9x)=x'e* D -D+3 O iks

A: Given query is to find statement true or false.

Q: — В - С) %3 4(х — в) + 2C В 3 [0, — 1] , с%3D1-2,3] e

A: We need to solve 12(B-C)=4(X-B)+2C                      (1) Given B = [0 , -1]C = [-2 , 3] Then B-C…

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.