Q. Find general Solution of the differential equation

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

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Q: Solve this separable differential equation. y' = e-(2x – 4). 3.

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Q: Find a second solution of each differential equation. (1+ x)y" + xy' - y = 0; y1 = x.

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Q: Find the general solution to the differential equation: y' = 9° %3D

A: The given differential equation is: y'=9x   We know that; ∫axdx=axlna+C

Q: B)Solve the differential equation x+4y

A: Given differential equation dydx=x5+4yx. The objective is to solve the differential equation.

Q: y= C,e*+ C2e¬x

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Q: a) y-y = e*y?

A: See the attachment

Q: Find the general solution of the differential equation. Use C, C1, C2,⋅ ⋅ ⋅to denote arbitrary…

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Q: Identify the type of differential equation and solve (3xy +3y -4)dx +(x-1)2dy = 0

A: Given: Differential equation…

Q: B)Solve the differential equation = x - y. dx

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Q: xy – y = /x² - y² — у 3

A: Topic - differential Equation Homogeneous Differential equation

Q: Check that the differential equation is linear and find the general solution Y'-(6/X)Y = x^4

A: Given differential equation is y'-6xy=x4 which can be written as dydx-6xy=x4. We have to check…

Q: y = xy' – 2(y')² + 3

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Q: Find the differential equation whose general solution is y = c1 x + c2 e

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Q: xy' + y = y?

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Q: find the solution of this differential equation: (x − 1)y′ = y + 2(x − 1)^3

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Q: Solve the linear differential equation of y' – 2xy = r.

A: Answer :The given differential equation is y'-2xy=xIt can be written as dydx-2xy=x    -(1)

Q: Solve the differential equation x²y" – y = e¯*.

A: Solution of given equation is given as:

Q: a. Solve the differential equation by variation of parameters y" – 4y' + 4y = (x + 1)e²*

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Q: Solve for the Linear Differential Equation: y' - y = e^x

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Q: Find the general solution of the differential equation y′ = x(1 + y)

A: Given differential equation - y' = x1+ydydx = x1+ydy = x1+ydxSeparating variables - dy1+y =…

Q: e*+Y y =3x

A: The given differential equation is                                              ex+yy'=3x To solve…

Q: 1. Solve the differential equation to find y: (1+ x)2+y= Vx

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Q: b) Find the general solution to the differential equation

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Q: Find the solution, using variation of parameters, to the differential equation (D3+D)y = sec2x.

A: Given :- The given differential equation is  D3 +Dy = sec2x Let the equation be  d2ydx2 +Pdydx+ Qy…

Q: 5y*y' = x?y' + 2xy

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Q: y= X + Ci ex t C2e 2x

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Q: Find general solutions of the differential equation  (x+e^y)y'=xe^(-y)-1

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Q: Find the general solution of the differential equation. y′ + √x y = 9√x

A: To find the general solution of the differential equation y'+xy=9x

Q: y'+2y = e¯*

A: As per our guidelines we can only solve one question and rest of the question will be reposted.

Q: (y')³.x – (y')².y – 1 = 0

A: Assume y'=p, write the given equation in terms of y then differentiate the equation with respect to…

Q: Determine the type of differential equation and solve y2dx - x(2x+3y)dy = 0

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Q: Q4: Solve the given differential equation. (non-liner DE) y" = 1+ (y')²

A: We have to solve given differential equation:

Q: Find the solution to the differential equation y'-2ty = 4t

A: Solve the above differential equations.

Q: y +y=}(e* – e*)

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Q: Find the general solution of the differential equation.For x=3,m=11

A: Introduction: A higher order linear homogeneous differential equation has only complementary…

Q: Find an explicit solution to the differential equation y-y+3 =0.

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Q: y' + xe' = 0

A: It is known that, if we have a differential equation then, isolate x on one side and isolate all the…

Q: Q1. Solve the differential equation to find y: (1+x) +y = v

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: Solve the differential equation x²y"-y e 2*

A: The general solution of the second order, linear, non homogeneous ordinary differential equation…

Q: Evaluate and Solve the linear differential equation:    (dy/dx) = x - y

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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: t. t.

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Solve the differential equation below; e* y' = (x + 1) y?

A: This question is related to differential equation.

Q: Solve the differential equation. 6y ' = e x/6 + y

A: It is given that,6y'=ex6+y We have to solve the given differential equation.

Q: с. у -у%3х y = x

A: We have to find general solution of given differential equation.

Q: solve the differential equation : y"+k?y=0

A: We will be solving y''+k2y=0. So,

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.