find the general equation of the differential equation

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: У"(х) — 2у(х) + у (x) — 4x2 — 3 + et

A: Given :         y''(x) - 2y'(x) + y(x) = 4x2 - 3 + exx   To find:            The general solution of…

Q: Find the General Solution of the Differential Equation given below using Exact Equation

A: To solve the given differential equation: yexy−1ydx+xexy+xy2dy=0,y1=1

Q: Describe how to determine whether a function y = f(x) is a solution of a differential equation.

A: We can determine whether a function y=f(x) is a solution of a differential equation by plugging in…

Q: find the timear form of this differential equation

A:

Q: Solve the differential equation y' = x + y by making the change of variable u = x + y.

A: Given y'=x+yand u=x+y

Q: Consider the differential equation.

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

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: Find the singular points of the differential equation?

A: Concept:

Q: Find the general solution of the differential equation (4 + tan2 x)y′ = sec2 x

A:

Q: Find the complete solution of the differential equation, y' = 2 - cot.

A:

Q: Find the general solution of the differential equation

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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: Determine the general solution of the differential equation

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Q: Find a differential equation whose general solution is y = cie®t + cze¬,

A: The complimentary function of the differential equation if the root of the auxiliary equation are…

Q: Find the general solution of the differential equation.

A:

Q: differential equation is given as

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

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

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

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Q: Find the general solution for the differential equation: 3- y" + 9y = sec2(3x) %3D

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Q: Determine the solution of the differential equation.

A: Answer and explanation is given below..

Q: Find the order of the differential equation. And check if it is linear or nonlinear.

A: Given the differential equation

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: Solve this exact and linear Differential equation in y.

A:

Q: Find the general solution for the differential equation

A: Given: The given differential equation is X'=45-26X

Q: Solve the differential equation = by the method of separating the variables. %3D

A: Given : dydx = 13y2

Q: determine the differential equation

A:

Q: Describe the difference between the general solution and a particular solution of a differential…

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Q: Consider the differential equation

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

Q: Solve this differential equation.

A:

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?

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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: the order of the differential equation is one factor in determining the linearity of the…

A: A differential equation is linear if the dependent variable and all its derivative are not…

Q: What does it mean for a function to be a solution to a differential equation?

A: A function is said to be a solution of differential equation if it satisfies the differential…

Q: Solve the differential equations using separation of variables method

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: The solution of the differential equation

A:

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.