z=-3i is a solution of z2+9=0 z' +3 = 0 z² + 3i = 0 z² - 9 i = 0

Q: (2x+1) (x+1) y"+2xy' - 2y = (2x+1)- A solution of the homogereous Jorm is → y= (x+1)-1 Find the…

A: The differential equation is provided below, 2x+1x+1y''+2xy'-2y=2x+12 And one of its solution is…

Q: A system of ordinary differential equations has general solution - 3c2e 8t – 5cze 4t -8t 4t -4c1e…

A:

Q: 11. Find the particular solution of 2ydx = 3xdy, when x -2, y = 1

A: Given : Differential equation :  2ydx = 3xdy And x = -2, y = 1   To find : Particular solution of…

Q: Solve for the particular solution of the non-homogeneous DE.  y''' + y'' = 3

A: Use the method of undetermined constants to simplify the particular solution.

Q: 9. Find the particular solution of y" - 2y' + 5y = 0 y(0) = 1 and y'(0) = -2. An

A:

Q: Solve for the particular solution of the non-homogeneous DE.  y(4) + 2y'' =2

A:

Q: Q14- Solve the equations to find x, y, z by Gaussian elimination : 3 x+z = 4 2 -3 x+3y - 2 5 X - 5 =…

A: Given: The given system of equation is,

Q: Solve the equations to find x, y, z by Gaussian elimination : x-x+z =4 x + 3y-을-7 3 X -3 X y-4z 5

A:

Q: 6- Use Newton-Raphson method to solve the system x3 + y – 1 = 0 y3 – x+1 = 0 with the starting value…

A:

Q: The solution of associated homogeneous equation of a =7 a +6 a +n2+2" with a =9 , a,=10 and a =32 is…

A: The solution is given as

Q: 2. Find general solution of the DE y" + 3y" + 3/ + y = 0

A:

Q: Find the wrong Kian W(y1,y2)(t) of y1 and y2  Where y1=t and y2= e^t are solutions of…

A:

Q: 3. Use your solution from Part 2 to give solutions to the IVPS i. y" + 2y' + 16y = cos 3t, y(0) =…

A:

Q: Obtain the particular solution of (3x2 - 2y2)y' = 2xy; x =0, y=-1.

A: We have to solve

Q: 54. yy' 2y2 = ex -

A:

Q: (D-1)x+(2D+7)y = 3t –15 G9 3) (2D +1)x+(D+5)y= 9t –7

A: I am attaching image so that you understand each and every step.

Q: (2x + 3y + z = -1 Зх + Зу + z %3D1 (2x + 4y + z = -2 Give the solution of

A: We can find the answer using Gaussian elimination method as below.

Q: 19. Show that yı = 1 and y2 = /x are solutions of yy" + (y')² = 0, but that their sum y = y1 + y2 is…

A:

Q: In this problem, verify that the given functions y₁ and y2 satisfy the corresponding homogeneous…

A:

Q: A solution of a DE which is not exact and falls under Case 3 i.e. a2 can alone be solved by b2 DE…

A:

Q: The solution of associated homogeneous equation of а %37а +6 a п —2 +n2+2" with a =9, a,=10 and a…

A:

Q: Q (3). In a dynamical system, given a system of linear differential equations as: x;'= 3x; +3x, - 6e…

A:

Q: Solve the system of differential equations x' 4x – 15y ly' 2а — 7у - x(0) = 3, y(0) = 1 x(t) = y(t)…

A: We solve the given problem using method of elimination by use of operator D  .

Q: Give a convincing demonstration that the second order equation ay+by+cy=0, (a, b, and c constants)…

A: Consider the given second order differential equation as ay''+by'+cy=0 where a, b and c are…

Q: Solve for the particular solution of the non-homogeneous DE. y'' - y' = 2sin 2x

A:

Q: (a) Find the general solution to corresponding homogeneous equation of y" + 3y" – 4y = 2e-4t –…

A:

Q: Verify that z 2 + 4i is a solution of z2 + 6z - 40i = 0. Is 2+ 41 also a solution?

A:

Q: Use the Gaussian Elimination method to solve: 1x + 2y +3z = 14 2x + 1y +3z = 13 2x + 3y + 1z = 11…

A: The given equations are: 1x+2y+3z=142x+1y+3z=132x+3y+1z=11 We need to solve the given system of…

Q: Solve (1- x2)y" +2xy'-2y = 0 on (-1,1) given that y1 = x is a solution.

A: Let us consider the given differential equation P(x) y''+Q(x)y'+R(x)y=0 Then the solution of the…

Q: The equation Yk+1 – Yk = 1 - k+ 2k3 has the particular solution k-1 k-1 k-1 k-1 J:-Σα-i+ 26) Σ(1)…

A: yk=12k4-k3+32k+A we know that Bernoulli Polynomial is…

Q: If y and y, are solutions of a non-homogenous equation y" + ay + by =c then y,-Y2 is a solution of…

A:

Q: Use Newton-Raphson method to solve the system x +y- 1 0 -y x+1 = 0 with the starting value (Xo.yo)…

A: Use the following formulae, to find the approximate solution of the non-linear system by…

Q: b) Give a particular solution for y" – 2y' + y = et - 1+x2

A:

Q: 8. Find the particular solution of x²y"+ xy' = 1; y = 0 and y' = 1/2, when x = 1.

A: eular method

Q: An Euler-Cauchy equation is given as x*y" +1.5xy – 0.5y=0, x(1)=5, 19 (9). 3 Solve the equation by…

A: Here, we have given that the Euler-Cauchy equation x2y''+1.5xy'-0.5y=0 and the initial conditions…

Q: 4. Solve Ar, = 3n2 + 4n - 1 with the initial condition r = 3. %3D

A:

Q: ¥5./By homogeneous, solve The D-E! ... @(xy"). 6.5- Sec ()+():

A: To solve the homogeneous differential equation of the form- dydx=f(x,y) We use substitution y=vx or…

Q: 10. Find the unique solution of the second-order ivp: y" + 16y = 0, y(0) = 2,y'(0) = -2

A: answer is in next step

Q: A system of ordinary differential equations has general solution 3cjet + 4c2e 5c1et – 5c2e -3t #(t)…

A: solution of the given problem is below...

Q: Use Gauss-Seidel method to solve for the value of x, y and z. 5x' + In 2y - 4/3z = 51.2118 2x - 5 In…

A:

Q: 1. Solve the equation on the interval 0s0<2x. 4sin 2e-3=0 O A. 3'3 元 5元 B. 6 6 I 5x 7 11x С. 6 6 t…

A:

Q: 8) Use Gaussian Elimination to solve: x +3y-z = 13 - 5z = 23 (4x-y-2z = 14 Consier 2x

A:

Q: 2. Solve the exact DE and give the general solution. a. (4y-3x)y'-3y 0

A:

Q: X-2y+3z=11 4x+2y-3z=4 3x+3y-z=4 Solve by  Gaussian elimination

A:

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

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.