What iş the special solution of the differential equations?

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: What is a modeling with differential equations?

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

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. 1 こ

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Q: Consider the differential equation.

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

Q: Form the differential equation by eliminating A and B from Ax² +By² = 1.

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Q: Determine an appropriate substitution and then solve the differential equation. ху'%3D у In(ху)

A: We will substitute v = xy to solve the given differential equation. after substitution the…

Q: Solve the Bernoulli Differential Equation

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Q: Explain the steps to determine the a single particular solution of anonhomogene linear differential…

A: Consider a second order non-homogeneous linear differential equation with constant coefficients,…

Q: Find the singular points of the differential equation?

A: Concept:

Q: Among the first-order differential equations, which method appears to be easiest and hardest? Please…

A: Soln: Easiest method is possible when given ODE ishomogeneous equation: For homogeneous differential…

Q: What are the rules or theorems that you may use to identify the difference between linear and…

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

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Q: y = Ae* + Be-*

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Q: Consider the first order differential equation

A: Given, the differential equation,                          1xndydx=y2(x)where n∈ℕ.

Q: What is the differential equation given functions?

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

A: Given the statement

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

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Q: Calculate whether the differential equation is exact or not and Find the general solution.

A: The given differential equation is:x2+2x+ydx+2dy=0We need to check whether the equation is exact or…

Q: What do you understand in LINEARITY of an ordinary differential equation? Give the general form of…

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Q: or the general solution of the below differential equation

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Q: How do you solve linear first-order differential equations?

A: First order linear differential equations are in the form of dydx+Pxy=Qx. These equations can be…

Q: Every differential equation has a constant solution. صواب ihi

A: Counter example: dy/dx=x Solution will be y=0.5*x^2+c where c€R. Implies there exist no constant…

Q: Which are the differential equations and initial conditions?

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Q: Solve the first order differential equation by separating variables.

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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: 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: Solve the differential equation. 4 + Vr du dr 5 + vu II

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Q: (0.g)=

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Q: Find general solutions of the differential equation

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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: Explain the Systems of Differential Equations?

A: We have to explain system of differential  equation.

Q: What does it mean when we say that two or more differential equations are coupled?

A: A differential equation is an equation that carries one or more functions with its derivatives. The…

Q: Find the solution of the differential equation that satisfies the given initial condition.

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Q: Consider the differential equation

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

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

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

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Q: Find the solution of the system of differential equation

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Q: how to solve the differential equation?

A: Given : Diffrerential equation (D4 - D3 - 9D2 - 11D - 4)y = 0   To find : Solution of the given…

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: A solution of a differential equation that is free of arbitrary parameters is called a/an solution.

A: Particular solution.   A solution of a differential equation that is free of arbitrary parameter is…

Q: The solution of the differential equation

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

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Q: Hi, can I get help with this problem? Thank you! 3.4

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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…

Q: The main mathematical operation in solving for the solution of a differential equation is…

A: 6.The main mathematical operation in solving for solution of a differential equations  is…

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.