When solving Sx? + 4y2 = 20 lxy = 4 by the substitution method, we can eliminate y by solving the second equation for y. We obtain y = - Then we substitute for. in the first equation.

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

A: Write characteristic equation then solve

Q: - for the 2 equations, a,X+a12Xg=0 and aX,+aNg=2 the value of au given: and a11 a121 la21 a221 X= 1,…

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Q: 2. Use the method of undetermined coefficients to solve the equation y" – 3y + 2y = e +2.

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Q: In this question, we solve the equation (t – 1)y" – ty + y = (t– 1).

A: The differential equation  (t-1)y''-ty'+y=(t-1)2 By using variation of parameter to solve it.

Q: ax + y + z 1 We will examine the solutions of the equation according to a. x + ay + % a x +y + az ||…

A: The given system is,ax+y+z=1x+ay+z=ax+y+az=a2

Q: 2y

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Q: 1. y' = 2x? +3y? – 2, y(2) = 1; h= 0.05

A: I have first written the recurrence relation for Euler Method and then solved the problem.

Q: Find solutions using Exact Equations 2. Solve (3x*y? – x²)dy + (4x³y3 – 2xy)dx = 0

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Q: What is the solution of the given equation valid near the origin for x>0? x2y''+x(2+3x)y'-2y=0

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Q: Find solutions using Exact Equations 3. Solve e** (3x²y – x²)dx + e**dy = 0 |

A: Given that: ex3(3x2y-x2)dx+ex3dy=0

Q: a) Determine the value of the unknown that makes the statement true. 3(1 – x) + 5x = 2(x + 1) %3D b)…

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Q: 1. Solve the following equations: c) (x² - 4xy – 2y²) dx + (y² + 4xy – 2x²) dy = 0 -

A: Given :x2-4xy-2y2dx+y2-4xy-2x2dy=0

Q: Solve the given equation for which 0 <0 < 2t. Given that 3 csc -6 = 0. Show your step-by-step…

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Q: 1) Find the second solution, given one solution Y1. 6y" + y' – y = 0; yı = e/3

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Q: Solve for the general solution of the following equations: b. y'=y-xy'e*

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Q: If variation of parameters method is used when solving the equation y" 1 , then what is the v3 (x)…

A: The given equation is y'''=1x3

Q: Solve the diophantine equation x-4y=45 and give the general solution.

A: The given Diophantine equation is x-4y=45 Comparing the above given equation with a general linear…

Q: The particular solution (yp) of the equation y" - 3y' + 2y = 5 e* is yp = -5xe* False True

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Q: Solve for y(1.5) using Euler's Method 2XY Y = 1+X2 • Y(0) = 1 • H = 0.25

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Q: Find the values of "r" for which y(x) = e* solves the equation y" +3y'-4y= 0

A: We have to find the value of r .

Q: Solve for y, where y is a real number. V6y-2 /9y-8 If there is more than one solution, separate th…

A: We know that  If  √(x+a) = √(b+c) Then squaring both sides x+a = b+c Then we find x x = b+c-a

Q: following initial value problem the Variable Solve by separating 4= 3oc? +4sc -4; y(1) =3 (obtain…

A: dydx = 3x2 + 4x -42y -4

Q: S by ys-y Solve nod metho =x² +2

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Q: When solving fx² - 4y = 4 lx + y = -1 by the substitution method, we obtain x = -4 or x = 0, so the…

A: Given x2-4y=4x+y=-1 And solution is x=-4, x=0

Q: If variation of parameters method is used when solving the equation y" 1 , then what is the v1 (x)…

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Q: Solve the given DE using 3 possible solutions: x³-2y³ 3.xy-2 ||

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Q: If variation of parameters method is used when solving the equation y'" then what is the v, (x) of…

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Q: 3- Solve D.E: * (Y +y = x* y") 3- By Bernoulli equation solve

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Determine the coefficients of the equation y=ax'+bx²+cx+d so that it will have critic points at…

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Q: The equation e2a 10e* + 24 = 0 has two - solutions. The smaller one is: and the larger one is:

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Q: (x*+ 2y)dx — хdу y' = csc x – ycot x

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Q: Answers 1. Solve y+y+y=x*-2x -2x 1. y= C,e+C,xe* +x² -4x+ 4

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Q: dy (x² + xy) = 3xy+2y² In solving , one sets y VX. Which one of the following equations are then…

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Q: Solve for x and y. x + yi = 3 e2j +4e-2j

A: Given complex number - x+iy = 3e2i+4e-2i             ...........(1)We know that,eiθ = cosθ+isinθ…

Q: y' – 5y = x²e* – xe5x |

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: The particular solution (yp) of the equation y" - 3y + 2y = 5 e* is yp = -5xe*

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Q: dy 15. + ²y=t²y²

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Q: 1. Solve the following equation indicating the method(s) used: x?y' = 2x2 + y? + 4xy

A: To solve this question we are going to homogeneous differentiation method in which we put y=vx

Q: 1. Solve the following equation: а. yy" + 2y' = (y')² 9y" + 6y' + y = e¯(2 – 4x + 4x?) b.

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Q: The Cauchy-Euler equation can be reduced to an equation with constant coefficients by means of the…

A: For the solution follow the next steps.

Q: Find the general solution of the equation: e y' + y' – 2y = e - e |

A: As the given equation is a second order differential equation, thus write it in the general form and…

Q: Solve through Bernoulli's Equation: * - y = xy O y-l +x – 1 = ce¯* O y + x – 1 = ce"

A: The standard form of Bernoulli's equation is: dydx+Py=Qyn Where; P &amp; Q is the function of x.…

Q: If variation of parameters method is used when solving the equation y" , then what is the v (x) of…

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Q: True or False? The general solution of the equation y′′− 2y′+ y = 0 is given by y(x) =Ce^x.

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Q: State the general form of a particular solution to y" + 3y' – y = 3te-24. (Do not solve for the…

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Q: The general solution for Legendre equation (4 – x2)y" – 2xy' + n(n + 1)y = 0 is %3| -

A: Given The given equation is 4-x^2y"-2y'+nn+1y=0

Q: 4. Solve (x-2)y" - (4x-7)y' + (4x-6)y= 0, if y₁ = e2x is one known solution? HO The Cystem 2e²t

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Q: Find the general and the particular solution: d²u du = 4(1 + 3v)²; u = -1,and = -2 when v = -1 dv²…

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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.