Find the differential equation whose solutions correspond to the following equation a. y= Cje*+ Czex b. cx2 + x+ y? = 0 c. y = C,x? + Cze*

Q: 1. y = c1e-2x + cze²x + cze2x 2. y = c1e* + cze3x

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Q: Obtain the differential equation associated with the given function: y = Cx² + c2.

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Q: 4. What is the differential equation of the given functions? • y = Ce-* + Cze-2x + x y = Ce2* +…

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Q: Solve the given differential equation subject to the indicated conditions. y'' + y = sec3 x, y(0) =…

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Q: 4. Solve the differential equation by undetermined coefficients: y" +y' – 6y = 2.x. -

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Q: y + 3xy' – 2(y')³ = 0

A: Product rule of differentiation: (fg)'=fg'+gf' Chain rule of differentiation:…

Q: 2 (y+ 1) da- ydy = 0

A: Explanation of the answer is as follows

Q: 3. Find the differential equation associated to the equation: y = C₁x²e³* +C₁xe¹ +C₁e¹*

A: Note:- Since you asked multiple Questions ,As per our policy we can solve first question  for you…

Q: y(4) + 2y" + y = (x – 1)?

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Q: 3. Find the differential equation associated to the equation: Y = C₁xe¹³ +₂e=³ +C₁x²e-³

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Q: Solve the given differential equation by separation of variables. dy eY + e dx -5x - y

A: Solve Differential equation by variable separable method

Q: e. Cxy +C'x + 9 = 0

A: Cxy+C2x+9=0

Q: Find the differential equation that has y = C1 + C2x as its general solution.

A: To find the original differential equation we  have to eleminate the arbitrary constants by…

Q: Solve the differential equation. (t + 1) +2s = 3 (t+1) + -, t> -1 (t+1)?

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Q: Obtain the differential equation associated with the primitive y = Ae3x + Be2x + Ce*.

A: Given differential equation is we have to obtain the differential equation associated with the…

Q: Find the differential equation whose solutions correspond to the following equation. y = C1x^2 +…

A: For the solution follow the next step.

Q: 5. What is the general solution of the following differential equation ( .6³yod?y =0)? ,d*y +9. dx2…

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Q: Solve the given differential equation by undetermined y' + y = x2 - 3x y(x) = %3D

A: Consider the differential equation 14y''+y'+y=x2−3x Write the auxiliary equation…

Q: Find a particular solution to the differential equation y" + Oz/ – 16y = -768t°.

A: Given: y'' + 0y' - 16y = -768t3

Q: a. y = C,e=x + Cze-2x + x

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Q: What is the solution of the following differential equation that satisfies y (1) = 7 and y '(2) = 3?…

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Q: Find a differential equation whose general solution is y = c₁est + c₂e-2¹. 5t = 0

A: I have given the answer in the next step. Hope you understand that

Q: 2. y-폼-y 1 ミ、 6x 3x2 ||

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Q: (a) y = Ae + Be+Ccos 2x + Dsin 2x

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Q: Use the procedures developed in this chapter to find the general solution of the differential…

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Q: Find the solution of the following Differential Equations by Homogenous Equation 6) y'=+x y-x

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Q: Determine the solution to the differential equation given by: y'' + 3y -10y= 0

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Q: a. y = 3 sin 2x+ e-* ;y" + 4y = 5e-*

A: y=3sin2x+e-xAnd y''+4y=5e-x

Q: Find a differential equation whose general solution is 9t y = c₁e⁹t + c₂e-²t = 0

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Q: Find the general solution of the given differential equation 1 2 -y' + y = -x(secx)²y2 x2

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Q: y' - Зу %3D =x*y/3

A: Given differential equation y' - 3yx = x4y13

Q: 1.3x – xy = c -

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Q: Find a differential equation whose general solution is 9t = C₁e⁹t + c₂e-5t. y = = 0

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Q: Find a differential equation whose general solution is y = cje% + cze¯74. = 0

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Q: y = cje* + cze²r y" -y – 2y = 0 O 2y " -y' – y = 0

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Q: Find the differential equation having each equation as general solution. 7.) y= x + C,x + C,e 11.)…

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: verify that given situation is solution of the differential equation. y' + 4xy = 0, y = 25e−2x2

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Q: Solve the differential equation. regarding y as the independent variable rather than x. by |26. (1 —…

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Q: Find the particular solution to the given differential equation that satisfies the given conditions.…

A: Let y = emx is the solution to the differential equation, so…

Q: Find the solution to the differential equation below such that y(0) = 14 y' = 10xy - 2x y(x) =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: A solution for the differential equation is y = Pe-3x/2 + Qe–x/2, %3D

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Q: y = cje + c2er

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Q: Find the solution of the differential equation y'+ y = x?

A: Please refer to the image below

Q: Solve the differential equation as follows: (3 + 5x?y³ + 4xy* + 3y³)dx + xy²(3 + 4xy + 3x)dy = 0

A: To solve the differential equation as follows: 3+5x2y3+4xy4+3y3dx+xy2(3+4xy+3x)dy=0

Q: Eliminate the arbitrary constants to find the differential equation y = C¡e¬* – C2e-2x + Cze-3x

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Q: Find a differential equation whose general solution is y = c₁e5t + c₂e-²t. = 0

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Q: Find the solution of the following Differential Equations by homogenous equation 7) y'=(y-x)

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 3. Find the general solution of the differential equation y(4) - 4y" = t² + et.

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Q: Obtain the differential equation associated with the given function: y = Cx² + C².

A: first we will derivative with restive x then find the value of C then put in given equation

Q: Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y…

A: We have to find homogeneous part of the differential equation first.

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.