y" -8y' + 16 = 0

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 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: can you give an example in real life, where differential equations are applied?

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Q: 10. хx" + 4xx'%3D у2

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Q: Explain when Euler’s Method produces an exact particular solution of a differential equation?

A: Euler’s Method produces an exact particular solution of a differential equation?

Q: Explain the properties of ordinary differential equations.

A: We have to solve

Q: Explain briefly the classifications of the Differential Equations?

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Q: 3y (11) dx* 6x2

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: Get the differential equation and classify the result according to order, degree and linearity.…

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

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Q: The solution of the differential equation (x³ + 3xy?)dx+ (y³+3x²y)dy=D0 is

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Q: 3x2y +y2 2x3+ 3ху dy

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Q: The roots of an auxiliary cubic equation are m1=-1 and m2=m3=-5. What is the corresponding…

A: We have given the roots of an auxiliary cubic equation ,  m1 = -1  , m2 = m3 = -5 Thus , Auxiliary…

Q: Find the differential equation of all straight lines at 2- unit distance from the origin.

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Q: - y2. xp x²+ xy+y²

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Q: Find the general solution of the differential equation: 4y" + 36у 3 csc3t

A: Given equation is  4y''+36y=csc3t               (i) It is a second order linear nonhomogeneous…

Q: Find a differential equation whose general solution is y = c₁est + c₂e-2¹. 5t = 0

A: I have given the answer in the next step. Hope you understand that

Q: Which are the differential equations and initial conditions?

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Q: Find the differential equation of a family of parabolas with axis parallel to the x-axis.

A: Suppose h,k be the vertex of the parabola and length of latus rectum be 4a. Therefore the equation…

Q: What are the steps to solve first and second ordinary differential equations

A: First order and second order differential equations and their solution

Q: dy + y = y² sin x dx

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Q: B6. Solve the differential equation: (D3+ D2 + 9D r 9)y = 2e* +e-2x %3D

A: We solve the differentia equation by the theory of constant coefficient

Q: Solve differential equation  (D3+2D2+D)y=x3

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Q: Find the solution to the differential equation   that passes through the origin.   z=

A: As the solution function to the given differential equation, passes through the origin we will have:…

Q: The solution of the differential equation 3+6 Y-7Y=0.

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Q: Verify that the equation satifies the logistic differential equation

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Q: Obtain the general solution of the differential equation: ?′ + 3? = 8 (Use separation of variables)

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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.