The Bernoulli's and ricatti's differential equations have their G.S solved by reducing these equation in to first order linear differential equation using Change of variables. True or false?

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

A: We know  that an IVP ordinary  differential equation is called well posed if a It  has a solution b…

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: 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 general solution of the differential equation or state that the differential equation is…

A: Given differential equation: y'=x6y Convert the above differential equation in the first order…

Q: The order of the differential equation of all circles of given radius a is: 3 2

A: Let's find.

Q: Which is not a form of differential equation is...

A: This is the forms of difference equation and series in summation notation.

Q: Explain the properties of ordinary differential equations.

A: We have to solve

Q: Obtain the differential equation by eliminating all arbitrary constants

A: We need to eliminate constant B.

Q: 4. Obtain the Differential Equation from the family of curves of the form

A: We need to find the Differential Equation for the family of curves y=Cx for which we need to…

Q: Solve for the general/particular solution for the following differential equations using separation…

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Q: Find the singular points of the differential equation?

A: Concept:

Q: y = 2xy -x

A:

Q: Obtain the differential equation by eliminating all arbitrary constant.

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Q: Give your own example of a first orderlinear differential equation and solve it. Explain the…

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

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Q: Define Differential Equation (DE) along with 2 examples?

A: A differential equation is an equation which contains one or more terms and the derivatives of one…

Q: (ye Cn2

A: Using the exactness property of differential equations.

Q: Assume that a population P of wolves in a region is proportional to the area A of the region. Does…

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Q: The linear Differential equation of any order if there is no constant term s present is known as?

A: We have given The linear Differential equation of any order if there is no constant term s present,…

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

A: Given the statement

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

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Q: Which are the differential equations and initial conditions?

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Q: Determine whether the statement "The function y = 0 is always a solution of a differential equation…

A: Here the given statement is The function y=0 is always a solution of a differential…

Q: Why are separable differential equations called "separable"? State an application of these types of…

A: Suppose we have a differential equation involving x and y as variables. Separable differential…

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: Find the differential equation of all family of straight lines at a fixed distance p from the…

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Q: (0.g)=

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Q: By using suitable method, form an from the equation y=e'(Asin 2t). ordinary differential equation by…

A: We have to solve given problem:

Q: Non-Homogenous

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

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Q: The capacity of the theater is 500 people. At a certain time, the number of people in the theater is…

A: The capacity of the theater is 500 people. At a certain time, the number of people in the theater is…

Q: independent variables are there in an ordinary differential equation

A: Differential Equation: The equation consists of derivatives of dependent variables (one or more)…

Q: Find the solution of this higher order differential equation

A: Given that: (D4-3D3+4D)x=6+80cos2y

Q: What is a first-order differential equation? When is a function a solution of such an equation?

A:

Q: 3. y"+ y= 2rsina

A: According to the bartleby policy , I can only answer one question.  So I answered  first question.

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: 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 degree of the differential equation:

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

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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…

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.