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

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

A:

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: 7. Sketch some of the family of curves of the differential equation :

A: Given : The differential equation dydx=-y2x. To sketch : some of the  family of curves of the given…

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

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Q: What is a separable differential equation? How do yousolve it?

A: In a separable differential equation, we separate the variables and then take the integration of…

Q: Find the differential equation of the family of circles of fixed radius r with center on the x-axis.

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Q: Define in your own words   Differential equation

A: Differential Equation: Any equation which contains derivatives is called the differential equation.…

Q: If a differential equation is multiplied by a certain factor and becomes exact, the equation is more…

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

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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: 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: From the differential equation by elimaniting arbitary constant y =ax'+ bx²

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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: differential equation of the family of circles whose center is on the line y = 3x

A: Please refer to the image below

Q: representing the family of circles through the fixed points (-c, 0) and (c, 0).

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

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Q: Draw at least 4 representative circles and find the differential equation of the family of all…

A: The equation of a circle is, x-h2+y-k2=r2                                  ........1 where h,k is…

Q: Form a differential equation from y = 3cx - 4, here c is the arbitrary constant.

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Q: differential equation is given as

A: In this question, the concept of the differential equation is applied. Differential equation A…

Q: Find the differential equation of the family of circles with centers on the line x – 2y = 3 and…

A: Given:  circles with centers on the line x – 2y = 3and passing through (3, 0).

Q: Find the differential equation of the family of cuves and draw at least three members of the family…

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

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Q: Find the Differential Equation of the family of circles with center on the line y = x, and passing…

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Q: a type of differential equation which has an exactly one independent variable

A: To find the name of a type of differential equation which has an exactly one independent variable.

Q: Obtain the differential equation of the family of straight lines passing through (0,-1).

A: To Obtain the differential equation of the family of straight lines passing through (0,-1).

Q: A student carrying an influenza virus returns to an isolated college campus with 1,000 students.…

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Q: 6) Find the general solhution to the fourth order differential equation is equation "whose"'…

A: general solution of the differential equation

Q: Find the differential equation of the family of circles with center on x-axis.

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Q: Find the differential equation of family of lines whose angle of inclination is 60 degrees.

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Q: Obtain the differential equation of the family of lines passing through (-1.1).

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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: 3. Obtain the differential equation of the family of straight lines passing through (0.1). SAdd File

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

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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: 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: Obtain the differential equation of the family of curves described and sketch some members of the…

A: Each part is independent of each other so according to the guideline , I am solving only first part…

Q: A normal is drawn at a point P (x, y) of a curve, it meets the x-axis at Q. If PQ is of constant…

A: We will show that the given differential equation describing such curve is correct and will find the…

Q: Find a differential equation of the family of circles with center on the line y = -x, and passing…

A: Let, the equation of the family of circles with center         on the line y=-x & passing…

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

A: See solution below

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: 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: Find the solution of this higher order differential equation

A: Given that: (D4-3D3+4D)x=6+80cos2y

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: If the family of curve has 4 arbitrary constants then the corresponding differential equation is c)…

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: For a second order linear homogeneo us ordinarv differential equation with constant coeffi- cients,…

A: Differential equation.