у" - 2у' + у %3D et + Зех 1+x2

Q: 7) Determine the particular solution to the differential equation y 3x-2 that passes through the…

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

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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: The number of internet users in a country increases at a rate that is jointly proportional to the…

A: Let number of people having personal computer be C(constant), number of people having internet be N.…

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: 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: 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: Explain the properties of ordinary differential equations.

A: We have to solve

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

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Q: Solve the differential equation with appropriate method. Finalize answer equated to y. y' = 2xy - x

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Q: In differential equation, how to answer family of curves in process and determining the solution of…

A: Given a differential equation, dydx=f1(x)f2(y)

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

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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: Solve for the general solution of the given first-ordered Linear Differential Equation udx + (1 —…

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Q: Determine the solution of the differential equation.

A: Answer and explanation is given below..

Q: A differential equation is considered to be ordinary if it has more than one independent variable o…

A: An ordinary differential equation (also called as ODE), in Mathematics, is an equation which…

Q: A solution which contains as many as arbitrary constants as the order of differential equation is…

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Q: Solve the differential equation using Separable of variables.

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Q: Solve using the undermined coefficient of differential equation

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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: 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: If m1, m2 are the real and equal roots of the auxilary equation of second order linear differential…

A: Let us consider the second order differential equation y''+py'+qy=0 To solve the differential…

Q: In a city of a fixed population of " people , the rate of change (with respect to time t) of the…

A: Given Data: A city has a fixed population is P. Also given, the rate of change (with respect to time…

Q: y² = 14eax-

A: Given y2=14eax

Q: Classify the differential equation 4 4 4 = 0

A: An ordinary differential equation is an equation containing independent variables, dependent…

Q: In which form first-order linear differential equation can be written ?

A: A general first-order differential equation is given by the expression dydx+Pxy=Qx, where Px and Qx…

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: the differential equation through the point (-1,2) and h(x) = 3x•f{x), then H(-1) =

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Q: Make up a differential equation that does not possess any real solutions.

A: A differential equation consists of a dependent variable, independent variable and derivatives of…

Q: What is a Solution to an Ordinary Differential Equations?

A: The Solution to an Ordinary Differential Equation is an equation that satisfies the given…

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

A: I listed 5 example of ODE with answers.

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 solution of the system of differential equation

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Q: A forest is inhabited by rabbits and foxes. Every year, each rabbit gives birth to 7 babies and each…

A: The equation can be written for the populations using the population model. The population at any…

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: Parents invest $28,000 in a college fund for their child and then contribute $500 per month. Create…

A: Given: The investment is $28,000. Also, $500 is contributed per month.

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: A bowl is removed from a pottery kiln at a temperature of 200 degrees Celsius and placed on a rack…

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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…