Find the general solution of the 2nd order Differential Equation using Variation of Parameters.

Q: 1. у" — 4у 3 2+ 3х — х2

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Q: Find the general solution for differential equation.

A: Use linear differential method to solve

Q: Find the General Solution of the Differential Equation given below using Exact Equation

A: To solve the given differential equation: yexy−1ydx+xexy+xy2dy=0,y1=1

Q: find the general solution of the pictorlal differential equation.

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Q: Give an example of a linear, nonseparable differential equation.

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Q: The decay is basically governed by the first order differential equation = - ka is

A: We have to identify the given statement as true or false.

Q: what is the Non-exact differential equation?

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Q: Find the product solutions for the differential equation a²uxx = -u¿ using separation of variable…

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Q: What is the general form and standard form of exact differential equations?

A: Differential equation: A equation is that the linear combination of the variable quantity and…

Q: Find the general solution of the differential equation or state that the differential equation is…

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Q: Find the general solution of the differential equation or state that the differential equation is…

A: Given differential equation: y'=x6y Convert the above differential equation in the first order…

Q: A chemical reaction is governed by the differential equation

A: Given, the differential equation                           dxdt=K(3-x)2 where x is the concentration…

Q: Determine an appropriate substitution and then solve the differential equation. ху'%3D у In(ху)

A: We will substitute v = xy to solve the given differential equation. after substitution the…

Q: Find the singular points of the differential equation?

A: Concept:

Q: • / = Ity

A: y'=x-yx+y It is a homogeneous differential equation. Put, y=vx⇒y'=v+x·dvdx Therefore,…

Q: Find the ordinary differential equation from the general solution: y = Ae-* + Be-*

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: Find the general solution of the differential equation

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Q: What is the appropriate method to find the general solution of this differential equation?

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Q: Obtain the general solution using the method of coefficients Differential Equations

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Q: Form the differential equation by eliminating arbitary constant  y=Ae-3x+Be2x

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Q: What is the difference between a particular solution and a gen- eral solution to a differential…

A: Our Aim is to tell the difference between a particular solution and generalsolution to a…

Q: Determine the general solution of the differential equation

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Q: Find the general solution of the differential equation.

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Q: Determine the general solution of the given differential equation

A: Rewrite the equation in standard form. And solve it

Q: -3-x+x. y (0) -2. y(0)

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Q: y(4) + y" = 3x²

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Q: Solve the general solution of the second order linear differential equation with constant…

A: rewriting the equation we get  y'-1t2-1y2=-1t2-1

Q: 12. Solve the second-Order differential equation: -y = e* (use method of variation of parameters)

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Q: Solve the differential equation using variation of parameters

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Q: Find the general solution for the differential equation: 3- y" + 9y = sec2(3x) %3D

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Q: Determine the solution of the differential equation.

A: Answer and explanation is given below..

Q: Which are the differential equations and initial conditions?

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Q: Solve the first order differential equation by separating variables.

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Q: Form the differential equation by eliminating arbitrary constant  y=Ae-3x+Be2x

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Q: 12. Solve the second-Order differential equation:- y = e* (use method of variation of parameters)

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Q: Find the general solution for the differential equation

A: Given: The given differential equation is X'=45-26X

Q: Solve the differential equation = by the method of separating the variables. %3D

A: Given : dydx = 13y2

Q: What is Type of a DIfferential Equations?

A: There are four type of differential equations,  1. Ordinary Differential equation. The ordinary…

Q: What is the differential equation of the given 1 parameter family of solutions?

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Q: Find solution of differential equation. у"+ftanx)y-e^x, У(О)-1, у (1)-0

A: The differential needs to convert in the standard form.

Q: Solve the differential Equation &Y"+y=nsion by using variation of parameter.

A: Given differential equation is ,                                  y" + y =  x sin(x)  Method of…

Q: xy'= y + 2x'

A: xy' = y + 2x3xy'-y = 2x3Dividing by x;y' -1xy = 2x2 ...(1)Comparing with Bernouli's equation;y'+P(x)…

Q: Find the solution on the differential equation using suggested substitution.

A: The given differential equation is:yxtanx+lnydx+tanxdy=0We need to solve the above equation.

Q: y = ry' – In (y')

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Q: Find the solution of this higher order differential equation

A: Given that: (D4-3D3+4D)x=6+80cos2y

Q: 3. y"+ y= 2rsina

A: According to the bartleby policy , I can only answer one question.  So I answered  first question.

Q: y' = ycotx + y²cscx

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Q: When is an equation considered as a solution of  differential equation?

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Q: 2. y' + p(x)y = q(x)

A: