Q4:-Solve the following equations (choose tow only):- 2: 2x?y + 4xy +3y = 0

Q: Q58- By using Frobenias mothecl Solve ovE 6x°(I -x)Y+ 12x² C1+x}ý -C21-x')y=o

A: Given: 6x3(1-x)y''[x]+12x2(1+x)3y'[x]-(21-x2)y[x]=0 To find: Frobenius method

Q: Solve by the elimination method. 9x- y= 20 x+2y = 17 %3D

A:

Q: Solve the IVP. y/" – y – 12y = 0, y(0) = 3, y'(0) =

A:

Q: Solve by the elimination method. x+y=2 x-y36

A:

Q: 1) V4– 11x = 9

A: The given equation is 4-11x=9.

Q: Find the general solution of the equation x* (4 + 3z?) z, + y* (4 +3z²)z, = (x' + y')(4+ z³) z.

A:

Q: 5. y = xArctanx - In V1+x²

A:

Q: Q3-Solve the equation by determination method: 2x-4y 6 .. (1) x +y +z=1 ..* (2) 5y +7z -10 (3)

A:

Q: Q2) solve yk+2- 4 yk+1 +4 yk= sink +2* , yo=y1=0.

A: According to question, Given equation, yk+2 -4 yk+1 + 4yk = sin k + 2k,y0 = y1 = 0

Q: Q4:-Solve the following equations (choose tow only):- 1: x²y= - 2xy + 2y = 2x³e* 2: 2x?y= + 4xy + 3y…

A: Solution :- 1

Q: Q4:-Solve the following equations (choose tow only):- 1: x*y - 2xy +2y = 2xe* %3D

A:

Q: Use the substitution technique to solve the following equations, then submit the picture. y = 4x + 6…

A:

Q: 5. Solve, using the method of undetermined coefficients: y" + 2y' = 2x + 5 – e-2= %3D

A: First we shall get particular solution of y''+2y'=2x+5. Using method of undetermined coefficients y…

Q: Solve by the elimination method 5x-y=13 X+2y=18

A:

Q: Solve the following equations: 6t3-11t2-4t+4=0 %3D %3D

A: To find: The solution of equation 6t3-11t2-4t+4=0. Calculation: Using rational root theorem,…

Q: |r + y = -3 *- y = 11

A:

Q: Q3-Solve the equation by determination method: 2x-4y 6 - (1) x +y+z-1 * (2) Sy +72-10 (3)

A: Since we are given with multiple number of question and our guideline is solve first question kindly…

Q: Solve for the solution for the equation: y' + xy = 6x/y with the condition of y(3) = 6.

A:

Q: d. tr"-tr'- 3r = 4t %3D solution but DO NOT determine the

A:

Q: (d) Solve the IVP if y(0) = ko, y'(0) = k1

A:

Q: Solve the equations by substitution method x+y+z=7 2x-y+z=9 3x-z=10

A:

Q: Ql:-Solve the following equations(choose three only):- 3- x*y" + 3xy' +y = 0

A: A detailed solution is given below.

Q: Solve the equation [2] = +s LOJ +t (0) -8x + 3y - 7z = 4.

A: The Given equation is  -8x+3y-7z=4           ......(1)

Q: Solve the IVP: y" + y = 6(t – 2m), y(0) = 0, y (0) = 1.

A: y“+y=δt-2π

Q: Q1:-Solve the following equations(choose three only):- 1- 2- 21ya 3- x²y" + 3xy' + y = 0

A:

Q: Solve the DE with general solution   6m''-7m'+20m=0

A: We need to solve the DE with general solution 6m''-7m'+20m=0

Q: Solve the equation -4x² – 1lx+2= 0, expressing non-integer solutions in the form a ±b 2, where and…

A: Using factorization:-

Q: 4. (D² + 4)y = 8x +1 – 15e*

A: First I have find the complementary function and then find the particular solution with the help of…

Q: Solve the given differnetial equation by undetermiend coefficents  y'' + 2y' = 2x +7 -e-2x   y(x)…

A: Given:-           The differential equation  is:…

Q: Solve the IVP by substitution. (3x2 - 2y2)y' = 2xy;  y(0) = -1

A: Substitute  x = vy and than solve using method of separation of variables.

Q: Solve using method of undetermined coefficients: 2y" + 3y - 2y = 14x² - 4x - 11, y(0) = 0, y'(0) =…

A:

Q: Solve the IVP: y' + 2y = 4, y(0) = 1

A:

Q: Solve using method of undetermined coefficients (D²- 2D+2)Y 24 e* sın 3x

A:

Q: Solve and present detailed solution of the following using undertermined coeff. (D3 – D)y = 4r2

A:

Q: V Solve using method of undetermined coefficents (D3+ GD°+ 12D + 8)y =o when x=0, y=1, y's-2, y"-2

A:

Q: 5) t2 * e3t S²¹e²-¹² di

A: Convolution: The Convolution of two functions f(t) and g(t) over a finite range [0,t] is given by…

Q: y"+ 4y= 1+x+ six

A: The given differential equation is  y" + 4y = 1 + x + sin(x)  To obtain universal solution  y =…

Q: Q2/ Find the value of "x" and "y" from the equations: 5x+10y-46 28x+32y=32

A:

Q: Solve the DE with general solution m''-3m'+2m=0

A:

Q: Solve the equations below by using substitution   x = 2 x2 – y2 = 9

A:

Q: Solve: - 48t + 44 – 8, y'(0) = 23 y" - y' – 12y y(0) = - 8, y(t) =

A:

Q: Q2) solve yk+2- 4 yk+1 +4 yk= sink +2*, yo= y1=0.

A:

Q: Solve Q.!] by Using Variation of Parameters method : 49+36 y = csc (3×).

A:

Q: Solve (4D² + 5D + 1) y – ' for y, using the method of undetermined coefhcients.

A:

Q: Solve using method of undetermined coefficients (D²- 2D+2)y 24 e s in 3X %3D

A:

Q: Q1) Find the general solution 4x?y" – 8x?y' + (4x² + 1)y = 0 -

A:

Q: Q1:-Solve the following equations(choose three only):- 1- y +y=-x'y

A:

Q: Solve using method of undetermined coefficients: y" + 4y = e3x. %3D

A:

Q: Solve the equations below by using substitution  y = x x2 + y2 = 9

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.