3.Given a nonlinear equation y = 3x^3- %3D 5.12x^2+3.4x-1.9 solve for the following:

Q: y' + 3xeY = 0

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Q: y=X+ Ci ex t %3D

A: Explanation of the answer is as follows

Q: Q2/ Solve the differential equation by using the appropriate method y' = (y + 4x)² %3D

A: 2 Given differential equation is y'=y+4x2......1. We have to find the general solution of the given…

Q: 35. (2v3 3)dx + 3xv²dv = 0 – x

A: Given that: (2y3-x3)dx+3xy2dy=0     NOTE: As per our answering guidelines, we can only answer 1…

Q: D4 − 1)y = 0 -

A: Topic:- solution of differential equations

Q: y" = 12x² %3D

A:

Q: What is a separable differential equation? How do yousolve it?

A: In a separable differential equation, we separate the variables and then take the integration of…

Q: +xy+(x-9)y=0 2 4 2.

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Q: y" – y' = sint Solve the general solution of the differential equation by the method of change of…

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Q: Solve the differential equation with clear steps

A: Given, system of differential equation is dxdt=3x-y-zdydt=x+y-zdzdt=x-y+z We can write it as in…

Q: • / = Ity

A: y'=x-yx+y It is a homogeneous differential equation. Put, y=vx⇒y'=v+x·dvdx Therefore,…

Q: 5. Find the solution of the differential equation using Variation of Parameters. у" - Зу" + 3у - E

A: Explanation of the solution is given below....

Q: 14.) x = C,coswt + C2sinwt; w is a parameter, not to be eliminated

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Q: Find the general solution of the differential equation

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Q: Solve the differential cquation d'y by using the method of variation of parameters.

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Q: Find the general solution of the differential equation.

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Q: 12. Solve the second-Order differential equation: -y = e* (use method of variation of parameters)

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Q: Find the differential equation given the general solution: y = cer + Czex + 3x

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Q: Solve the differential equation using variation of parameters

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Q: Find x for which the line tangent to the parabola y = 4x – x2 is horizontal.

A: In this question, we need to find the value of x at which the tangent line is horizontal.

Q: Solve the differential equation using the Method of Undetermined Coefficient. Show your solution.…

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Q: Solve the differential equation using Separable of variables.

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Q: a. the root of the given nonlinear equation on its 16th iteration?

A: Given,         y=x3-x2-x-1;      -1<x<4

Q: 12. Solve the second-Order differential equation: -y = e* (use method of variation of parameters) dr

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Q: 12. Solve the second-Order differential equation:- y = e* (use method of variation of parameters)

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Q: x²y" – 3xy' + 4y = x³Inx |

A: The solution is given as

Q: solve

A:

Q: Solve the differential equation by using variable separable method: (1+x²)xy = (1+y²)(1 +x² + x) %3D

A: We have to solve the given differential equation by using the variable separable method…

Q: 4.3√√√7

A:

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.

A:

Q: Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y…

A: We have to find homogeneous differential equation first.

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

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Q: Solve the differential equation by variation of parameters. 1 4 + ex y" + 3y' + 2y =

A: The given differential equation is;  y''+3y'+2y=1/(4+ex).

Q: Solve for the differential equations and get the general solution. Simplify your answer free from…

A: The given differential equation is dy=tanxtanydx

Q: 6.) y' + (4/x) y- (x')ly) =0

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Q: equation

A:

Q: Find the solution on the differential equation using suggested substitution.

A: The given differential equation is:yxtanx+lnydx+tanxdy=0We need to solve the above equation.

Q: Solve for Higher Differential Equation using Variation of Parameters et x" – 4x' + 3x 1+et

A: see below the answer  as per bertleby I have to solve first question only, please resubmit for other…

Q: 2) Obtain the differential equation of parabolas with vitex and focus on the x-axis

A: To find: the differential equation of parabolas on the x- axis.

Q: Solve the differential equation by variable separable method dy (1+ y) (3x² + 6) = 2- dr 13 + 6z

A: To find- Solve the differential equation by variable separable method dydx = 21 + y23x2 + 6x3 + 6x

Q: By using the method variation of parameters, find the general solution of the differential equation…

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

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Q: A man is walking at a rate of 1.5 m/s toward a street light which is 5 m above the level ground. At…

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Q: solve ・iation parameter method y!! +24¹ +2y= the Differential equation by using var е-и дестил,

A: Solution:

Q: solve the for the general solution of the differential equation( linear homologous equation): (4D4 -…

A: Solving the equation With the aid synthetic division, it is easily seen that the auxiliary equation

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

A: To describe the separation of variable technique.

Q: Q1) Solve given differential equation using a variation of parameter method y" – y = 212 – t- 3

A:

Q: Solve for Higher Differential Equation using Undetermined Coefficients Method y" – 3y' + 5y = 4x³ –…

A: The  given differential equation is y''-3y'+5y=4x3-2x To find the solution of the differential…