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

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: What does the general solution of a first-order differential equation represent geometrically?

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Q: What is a separable first-order differential equation?

A: If in a first-order differential equation we can get the x terms on one side and the y terms on…

Q: What is a modeling with differential equations?

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

Q: find the timear form of this differential equation

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Q: Obtain the Differential Equation from the family of lines whose slope is thrice the y- intercept.

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

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Q: what is the Non-exact differential equation?

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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 differential equation by rlimaniting the arbitary constants from

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Q: Consider the differential equation.

A: Solution: The objective is to find r(t)

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

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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: 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: Obtain the differential equation by eliminating all arbitrary constants

A: We need to eliminate constant B.

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

A:

Q: A murder of crows in the wild is observed to double its population in one year. However, in…

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

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Q: Give the differential equation of family of lines passing through (2,0)

A: Let the equation of  line be y= mx + c Now if the line pases through (2,0) then  0= 2m + c --> c=…

Q: What is a first-order linear differential equation?

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

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Q: Explain the Linear Differential Equation?

A: Linear differential equation is linear polynomial equation which consists of derivative of dependent…

Q: Find the solution of the differential equation using Variation of Parameters.

A: Given differential equation is y'''-3y''+3y'=exx The solution of the differential equation using…

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: Can a nonlinear differential equation be separable? If so, give an example.

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

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Q: If the family of curve has 3 arbitrary constants then the corresponding differential equation is

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Q: a partial differential equation can have more than one independent variable. true or false?

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Q: Consider the differential equation

A: Given, the differential equation                                         y''+1xy'+y=0

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 ordinary differential equation of a circle which passes through the points (0,0) and (2,0).

A: We will find out the required differential equation for given circle.

Q: What defines an One Differential Equation as linear or non-linear?

A: What defines an One Differential Equation as linear or non-linear?

Q: Find the genprat Sotoution of the differential equation 3x+2 2y

A: By using the Separation of Variables Method.

Q: Find the solution of this higher order differential equation

A: Given that: (D4-3D3+4D)x=6+80cos2y

Q: Which kind of the differential equation is it

A: dydx=y' = x2y+y3x3+y3 is the given differential equation.    Degree of Numerator =3  Degree of…

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: What is the degree of the differential equation:

A:

Q: A car traveling at 100 km/h skids 50 m after its brakes are suddenly applied. Set up a differential…

A: The rate of change of velocity with time is known as acceleration, given by the expression a=dvdt.…

Q: Write a differential equation showing the family of lines with slope and y-intercept equal

A: Equation of lines is y=mx +c ; where 'm' is the slope and 'c' is the y-intercept.

Q: If an object's mass is changing at a rate proportional to its weight at a given time, does it make…

A: Two quantities are said to be proportional if they are increase or decrease in same manner. In such…

Q: Describe how to solve a first-order linear differential equation ?

A: First order linear differential equation :-  lets take an example :- y=x2+2 dydx= 2x This is first…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.