(9) Does the equation r2 - 31y² = -45 have a solution? %3D in itegers please

Q: y” − 10y’ + 50y = 0, y(0) = −3, y’ (0) = 1

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Q: The equation y2 cx is the general solution of: (Hint: Remove the arbitrary constant "c") %3D

A: Given problem is to find the differential equation where the general solution of differential…

Q: what is the general Solution to the equation (o²+D)y(x)=x

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Q: Given are the following nonlinear equation -2.x 4x²-36=0 two initial guesses, x, = 1 and x₁ = 4, and…

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Q: General solution of 2xydx+y^2dy=0

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Q: 1 (1 – 30, coefficient of 1 2y2/3 Solution: y2

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Q: The general solution of (D³+4D)y=0 is (A) Ay=c₁еx+c₂e²x + c3e² (в y=e*(c₁cos2x+c₂sin2x) -4x y =…

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Q: The particular solution of y+y-2y = e?x is

A: To find The particular solution of the given D.E.

Q: If y = f(x) is the solution of y' – 3y =-12.e 9z, f(0) =1, then

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Q: Find the solution by using Solution of 2nd order D-Es 2 X ý XỨ ty - xy + y = Lnx -

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Q: Exercises: 1. Show that y=3e-e is a solution to y"-4y-D0

A: Explanation of the answer is as follows

Q: 2 Find the particular solution of y' +y = -x°y5 ; У(-1) %3 2

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Q: Find the solution of the D.E. below: 2(2x² + y*)«x – xycdy = 0 ... x* = c (4x²+y²) x* = c(x?+ 4y?) B…

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Q: Find the general solution of (D3 – 2D2 + D)y = x

A: (D3-2D2+D)y=xlet D3-2D2+D =0D(D2-2D+1)=0D(D-1)2=0 D=0 or D=1,1Therefore C.F.=C1+C2ex+xC3exnow we…

Q: The solution of y = 5y + e 2"y2, y(0) = 2 satisfies:

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Q: 6. Find the solution of dy = (y² – y)x². dr

A: Definition used -          The solution of the variable separable differential equation-…

Q: Find the general solution using variation of parameters. y" – 4y + 4y = (x + 1)e²"

A: Given differential equation is, y"-4y'+4y=x+1e2x The auxiliary equation is, m2-4m+4=0m-22=0m=2,2…

Q: -(D² – 25) y = x e* . Using method of undetermined coefficients, what is y Consider A ' = Ax e* + B…

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Q: Find the General Solution: y" - 3y' + 2y =e*

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Q: Find the equilibrium point. D(x) = 7- 8x, S(x) = 3 + 8x

A: Equilibrium point is the point at which demand and supply function intersects. That means at…

Q: Find the general solution to y = -e*y² + y +e²

A: Given first order differential equation is solved by using integrating factor.

Q: What is the solution of y2 - x2y'=0 with IVP y(1)=1/2 ?

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Q: (a) Solve y" + xy + (2r – 1)y = 0, %3D near z = -1, if y(-1) = 2; y'(-1) = -2.

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Q: The particular solution of (D³-5D + 4)y = 0, when x = 0, y = -2, y' = 8, y" = 0

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: 8. Find the solution of the equation 1 z =- (p² +q°) + (p– x) (q – y) 2 which passes through the…

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Q: determine the particular solution of: y"-4y'+3y=e^t +t^2

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Q: The general solution of the DE: -y = 1 is y= x(x + c)

A: given,1xy'-1x2y=1multiplying throughout by x we gety'-1xy=xnow, integrating factor μ(x) is given…

Q: 3. Solve y' = , with initial condition y(1) = 0. y2 – 1 x3

A: It is given that the differential equation dydx=y2-1x3. Using variable and separable method to…

Q: Solve for the solution of: (D3 + D)2y = 0

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Q: 3 9 dx dt -1 -3 2 and x(0) 4 ||

A: In the question it is provided a system of differential equations:

Q: The least squares equation, y= 18.9476+1.1842x. If y= 66.3156, what is the value of x? *

A: On solving this we will get

Q: Find the solution to the Bernoulli Equation. 2x³y = y(y²+3x²)

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Q: Find the General and Particular solution of = 3y ; y = 3, when x = 0

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Q: 7. Find the general solution of (Dʻ + 2D’ + 10D²)y = 0.

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Q: The equation y3 = 3Bx is the general solution of 3y Oy Oy 3xy Ou' = 3y

A: We will form the differential equation using given solution

Q: What is the general solution of ху(ху5 - 1) dx + х?(1+ ху)dy3D0 ? A 2x3y5-3x² = cy? B 2x°y3 - 3x2 =…

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Q: 5. Find a particular solution to the equation y" + 4y/ + 4y = xe-2".

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Q: Find the general solution to: 3X y^ - Gy' +Qy= x*e*

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Q: Obtain the general solution using variation of parameters. (D^2 − 1)y = e^x + 1

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Q: 2. Find the general solution of y' = eY(4x – 2). %3D |

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Q: What is the general solution of differantial equation?  Whicf of the options x² - y² + xy dy/dx =0

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Q: Find the particular solution of: y' – 4y = x²e* that satisfies y(0) = 2.

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Q: The general solution of the DE y" -y" + y'-y 0 is

A: we have to find out the general solution of the differencial equation y'''-y''+y'-1=0

Q: g'ay-3y=(2tが)et

A:

Q: Is y = 1/(x + C) a solution to y' = -y^2?

A: To solve the following differential equation.

Q: An initial population, p, of 1000 bacteria grows in number according to the equation 4t p(t) =…

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Q: Find the general solution of the equation 4y'' + 4y' + y = e-t/2

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Q: Is it true that the solution set for x ≥ 0 is placed above the y – axis?

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Q: Obtain general solution of the D.E. y' + (1/3)y = e%y4

A:

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.