The solution of the differential equation y^'=-2xy is a family of solutions of

Q: An IVP ordinary differential equation is called well-posed if a big change in the data of the…

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Q: Find the general solution for differential equation.

A: Use linear differential method to solve

Q: What is a particular solution of a differential equation?

A: Particular solution: particular solution of a differential equation is obtained by known value for x…

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

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Q: Form the differential equation by eliminating arbitary constant :y=ax3 +bx2

A: We have to eliminate arbitrary constant a and b by differenciation

Q: What is a modeling with differential equations?

A: Modeling is the process of writing a differential equation to describe a physical situation.

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

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Q: Find the solution to Integro-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 correct form of the particular solution associated with the differential equationy"=8?

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Q: The Bernoulli's and ricatti's differential equations have their G.S solved by reducing these…

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Q: Explain when Euler’s Method produces an exact particular solution of a differential equation?

A: Euler’s Method produces an exact particular solution of a differential equation?

Q: y' = 4x(2y-y)

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Q: Which curve solves the differential equation and passes through the point (0,1)?

A: Using variable separable for solve differential equation.  Let -x2=t then taking integration on both…

Q: Form the differential equation by eliminating arbitary constant :y=ax3+bx2

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Q: find general solution of differential equation

A: y'' +6y' +9y=cosx The general solution to axy''+bxy'+cxy=gx can be written asy=yh+ypyh->…

Q: The solution of the differential equation using variable separable  dydx+7secy=

A: To find the solution of differential equation dy/dx+7secy=0

Q: The equation y" + y'- 2y = x² is called a differential equation because it involves an unknown…

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Q: What is correct form of the particular solution associated with the differential equationy'''=8?

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Q: Solve dx- dy

A: Here we can use variable separable method to solve the given differential equation. This method is…

Q: When the linear differential equation is multiplied by an integrating factor the equation will…

A: Answer of given question is written in below steps.

Q: Find the differential equation of the family of curve Straight lines with slope half the value of…

A: solutionGivenstraight line y=mx+CAlso givenslope =m=dydxC= y interceptat x intercept, y=0Also given…

Q: Consider the first order differential equation

A: Given, the differential equation,                          1xndydx=y2(x)where n∈ℕ.

Q: Find the differential equation of all straight lines at 2- unit distance from the origin.

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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: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x

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Q: From the differential equation by elimaniting arbitary constant  y=ax3+bx2

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Q: Determine the solution of the differential equation.

A: Answer and explanation is given below..

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

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Q: Discuss a real-time application of first order differential equation

A: To discuss the real time application of first order differential equation,   First order…

Q: The _______ of a differential equation is the power of the highest orfer derivative term in the…

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

A: We will find the general solution of differential equation by using variation of parameters as shown…

Q: Solve the differential equations using method of undetermined coefficient у"*у 3 х^2sin(2x)

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Q: What is Type of a DIfferential Equations?

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

Q: Describe the difference between the general solution and a particular solution of a differential…

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Q: equation

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Q: Write down any two applications of first order linear differential equation.

A: Newton's law of cooling-  states that the rate at which the temperature of an object decreases is…

Q: Verify if the given equation is a solution of the given differential equation. Show full solution.

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Q: 7. ON te 2.

A: We have to solve

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: Can you provide atleast 5 average or complex examples of Ordinary Differential Equations?

A: I listed 5 example of ODE with answers.

Q: Find the solution of the differential equation system

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Q: Find the solution of the system of differential equation

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Q: Describe the separation-of-variables technique for obtainingthe solution to a differential equation.

A: To describe the separation of variable technique.

Q: Obtain the differential equation that describe the family of curves.

A: The general equation of the circle isx-h2+y-k2=r2where (h,k) is the center of the circle and r is…

Q: A solution of a differential equation that is free of arbitrary parameters is called a/an solution.

A: Particular solution.   A solution of a differential equation that is free of arbitrary parameter is…

Q: After a correct transformation of variable, a homogeneous differential equation will be reduced to a…

A: We have to check given statement true or false

Q: What is the differential equation of family of parabolas with vertex on the x – axis and axis…

A: General equation of parabola parallel to y-axis and having center (h, k) and having distance 'a'…

Q: equation

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

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