Solve the given equation dy +2y %33x, у(1)-5 dx а. y(x) = xex – x 1 b. y(x) = 2х 2 x3 4 c. y(x) = x + с. d. y(x) = 7x + xInx ex + e-X e. y(x) = 2

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A:

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A: given differential equation

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A: This equation is belonging to the differential variable calculus equation of the initial variable…

Q: Solve

A:

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A:

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A: solve the linear  differential equation of homogeneous equation. by substituting y=e^mx

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A:

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A: If roots m1,m2,...,mn of the auxiliary equation is real and distinct then complete solution is…

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A:

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A:

Q: If TR =7X-5, PA=9X+1, and EZ=14, then x=

A: we know that ,  EZ = (TR+PA) /2

Q: B) Solve (3x? + 3x y²)dx + (3x²y – 3y² + 2y)dy = 0 %3D

A: First test for exactness:  ∂∂y3x2+3xy2=6xy ∂∂x3x2y-3y2+2y=6xy Since, ∂∂x3x2y-3y2+2y=∂∂y3x2+3xy2 so…

Q: Prove that n and m are natural numbers such that n > m, then n-m is also a natural number. Prove by…

A: Suppose that n and m are natural numbers such that n > m. Then we have n - m >0…

Q: What is general solution of y" + 9y" = 0. %3D

A: Given the differential equation is y"' + 9y" = 0 Here the auxiliary equation is m3 + 9m2 = 0

Q: Solve by the addition method: 5x 4 3. 3. 2х у 11 3 2 6. II

A:

Q: Solve for the general solution (D4 – 16)y = x* + x + 1

A:

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A:

Q: -0,4x Y=12000- 25000e メ=? \f Y=0 %3D

A: For the given equation if y =o the x =?

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A: We need to solve for x in 7-3x=2x-3. The solution is given below.

Q: Solve the following equation: 2x-19 = 4-x-1 A. -9 B. 8 C.9 O D.-8 OE. 10

A: Simplification

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A:

Q: Solve the equation (4y + 2x – 5 dx + (6 y + 4x – 1 dy = 0 subject to the initial condition y(-1)= 2.…

A:

Q: The molarity of a solute in solution is defined to be the number of moles of solute per liter of…

A: The provided information is:

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A:

Q: Determine-for the implicit equation x2-10 y = 3x dy

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Q: solve for y. 3y = 2y+1

A: 3y=2y+1

Q: Solve (2y + 5)dx = 6dy O a. x = 12In(2y+ 5)+ c O b. y = 3In(2x+5) + c C.x =-In(2y +5) + c O d. x =…

A: Given (2y+5)dx = 6dydx6 = dy2y+5

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A:

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A: First solve for homogeneous part and then find particular integral  resulting will be required…

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A: Giveny=5x-2-2x+3  Formulae for derivativedydx(xn)=nxn-1 where n is integer and x is variabledydx(c)…

Q: (4х* — 4х у + Зу* + 2) dx +x(2х — 2у + 1) dу %3D0

A: missing details.

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.