Find the genprat Sotoution of the differential equation 3x+2 2y

Q: Draw a slope field for the differential equation / = 0.2x² + y

A: We have to draw the slope field for the following differential equation, y'=0.2x2+y

Q: Form the differential equation by eliminating arbitary constant :y=ax3 +bx2

A: We have to eliminate arbitrary constant a and b by differenciation

Q: What form of the particular solution is appropriate for the differential equationy" - y'=4?

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Q: Find the product solutions for the differential equation ux = -3uyy using separat of variable…

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Q: Give an example of a linear, nonseparable differential equation.

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Q: Find the solution of the differential equation using Variation of Parameters. у" - Зу" + 3у' et

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

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

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

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Q: Please explain the general process( steps taken)  for solving any nonhomogeneous linear differential…

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Q: What differential equation has general solution  y=c1e^(5t)+c2te^(5t)?

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Q: Form the differential equation by eliminating arbitary constant :y=ax3+bx2

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Q: Form the differential equation by elimanating the arbitary constant A,B fror V=Ae7x+Be-7x

A: y = Ae7x + Be-7x

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: Vhat is the particular solution to the differential equation with the initial ondition y(3) = -4?…

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

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Q: Find the differential equation associated with y = clx^2+ c2x + c3

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

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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: Write the differential equation satisfied by y = Cekt.

A: Given equation is              y=Cekt

Q: Reduce the differential equation: x2(y-px)=yp2 to chairaut form and find its genenral solution

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

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Q: Find the differential equation whose general solution is y = C1x + C2ex. %3D

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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: What is the difference between a particular solution and a gen- eral solution to a differential…

A: Our Aim is to tell the difference between a particular solution and generalsolution to a…

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

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

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

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Q: Solve the High order differential equation by using Variation of Parameters Method y(4) – 2y" = 4x

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Q: Determine the solution of the differential equation.

A: Answer and explanation is given below..

Q: Which are the differential equations and initial conditions?

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Q: What is SM of the differential equation (2a + 3) y' = (y + 2x +3) O}y + 2x +3) O1 + (2a + 3)-

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Q: Find the general solution of the 2nd order Differential Equation using Variation of Parameters.

A: We will find the general solution of differential equation by using variation of parameters as shown…

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: Solve the differential equations using method of undetermined coefficient у"*у 3 х^2sin(2x)

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Q: Solve using the undermined coefficient of differential equation

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Q: How can you tell that a differential equation is separable? Thatit is linear?

A: We can say differential equation separable  if it  can be written so that all terms in x and all…

Q: Find the general solution of the differential equation with clear steps.

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Q: Explain thesteps to obtain the general solution of a 2nd order homogenous One 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: الموافق Find the general integra) of the differential equations with dottedf v ariables : ト 3) (++y)…

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Q: Find the differential equation whose complete solution is y=c1e-x+c2ex+4x using elimination of…

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Q: 21

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Q: 4. x" +x=e+!.

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Q: From the differential equation by elimanating arbitary constants  y=ax3+bx2

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Q: Describe the separation-of-variables technique for obtainingthe solution to a differential equation.

A: To describe the separation of variable technique.

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

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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.