Find the differential equation associated with y = clx^2+ c2x + c3

Q: Create a differential equations exercise related to Cooling and warming  (Describe the situation)

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Q: Determine the function if it is a solution to the differential equation or not.

A: Given function is a solution of the differential equation. This is a complimentary solution along…

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

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

Q: Solve number 3 using first order linear differential equation.

A: We will solve the Differential equation.

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 differential equation by rlimaniting the arbitary constants from

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Q: can you give an example in real life, where differential equations are applied?

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Q: Find the differential equation of straight lines with slope and x –intercept equal.

A: Recall:  The equation of straight line is y=mx+b where, m=slope, b=y-intecept   Given, slope and x…

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

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Q: Please explain the general process( steps taken)  for solving any nonhomogeneous linear differential…

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

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Q: What are modeled with differential equations?

A: Here we define the differential equations.

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: The _____ of a differential equation is the power of the highest order derivative term in the…

A: The solution of above question is written below.

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: Based on a function, try to construct a non-homogenous differential equation with at least 2nd order…

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Q: Give two examples of your own for order and degree of a differential equation

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Q: What is the differential equation of all parabolas with axis parallel to the y-axis?

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Q: Determine the solution of the differential equation.

A: Answer and explanation is given below..

Q: Discuss a real time application of linear differential equation

A: According to the given information, it is required to explain about the real time application of…

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

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Q: Determine the differential equation of the family of lines passing through the origin. (SOLVE BY…

A: Lines passing through origin can be taken as Y=mX

Q: Define a differential equation.

A: A differential equation is an equation containing the independent variable x, the dependent variable…

Q: when we determine the highest derivative in a differential equation, we are actually determining the…

A: According to the question, we have to check the statement either it is true or false and the…

Q: Find the differential equation having the solution as the equation representing all lines with slope…

A: Consider the family of straight lines with slope m and y-intercept c in slope-intercept form as,…

Q: Find the genelal solution of the differential equationi %3D

A: Given: y+14ty'=14y+4t ⇒dydt=14y+4ty+14t ...(1) This is a homogeneous differential equation, to solve…

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

A: I listed 5 example of ODE with answers.

Q: Obtain the differential equation of the 5. Family of straight lines with x- intercept and slope…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

A: By using the Separation of Variables Method.

Q: From the differential equation by elimanating arbitary constants  y=ax3+bx2

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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: What is the degree of the differential equation:

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Q: Create a differential equations exercise related to heating and cooling. (Describe the situation)

A: The given problem is to create the differential equation which is related to heating and cooling, we…

Q: equation

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

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Q: .Determine the differential equation by eliminating arbitrary constants and also write the order

A: Given: y=c1x+c2x+x3-7x2+27x-60+60xex                                                 Equation 1 On…