(X1 + 3хz — 5хз + 3x4 3 3 -Зх, + 2х, + 2х4 3D —14 -2х, + 4x2 — 5х3 — Зх, 3D 8.

Q: q''+q'=2z2

A: In this question, we solve the differential equation q''+q'=2z2 By using the method of indeterminate…

Q: there a way to check if the equation you find after applying the initial condition is correct?

A: Let  Given that dy/dx = 2x (y − 1),.      y(0) = y0. And from solved answer The general solution is…

Q: Find a particular solution of the equation using the method of undetermined coefficients. y' + 2y…

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Q: Y- 3X +1 = Ce | Ce 3x

A: The given equation is y-3x+1=ce-3x. Solve for orthogonal trajectories.

Q: Find an integrating factor for the equation -20p° dp + – 15pqª dq = 0 and transform it into an exact…

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Q: Bernoulli equation can be solved by a method similar to the solution of a O A. Exact DE O B.…

A: Question is solved.

Q: Solve the Bernoulli equations y' - y = -y2

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Q: Solve the simultaneous equations 3 dx+y=z+ e* dz dx + z = y +et

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Q: Solve the systems using b and b' and determine the actual relative error.

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Q: 3x?y" + 11ry' – 3y = 10x – 10.

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Q: 2. 2y (x²-y tx) dx-(x²-2y) dy = 0

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Q: Solve the equation y" – 10y' + 25y = t-5e5t.

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Q: 2x1-x-4x₁x₂ = 0 -x + 2x3-4x₁x₂ +10x₁ = 5

A: We need to solve the following system of equations using a numerical method.…

Q: Transform the linear equation into its standard form and evaluate the DE. xdy-dy=(3x²-3x)dx-ydx

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Q: y" + 4y = 8 +34 cos x ; y(0) = 3;y'(0) = 2

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Q: Solve the second-order equation xy" + 2y' 8x? by making the substitution u -y'.

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Q: Solve this linear IVP,        xlnx dy/dx + y= 2lnx,                           y(e)=2

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Q: Solve y" + ω2y = 0 by method (c) above and compare with the solution as a linear equation with…

A: Consider the given differential equation y"+ω2y=0

Q: Use the linear method to solve: xy' - 6x²y = 3x²; y(0) = 3

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Q: Q2/ Classify the following equation as linear or not, and if not, what type of linearity it is: u; -…

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Q: max y = x1 2 + x2 2 ; subject to (x1 2 /25) + (x22 /9) =1 using the method of lagrangean .

A: Given function:- fx1,x2=x12+x22 Let gx1,x2 =x1225+x229-1

Q: (D² − 1)y=e*(x² + 1)

A: THE HOMOGENOUS EQUATION IS , D2-1y=0 SO, THE AUXILLARY EQUATION IS, D2-1=0⇒D=1,-1 THE HOMOGENOUS…

Q: 3.Given a nonlinear equation y = 3x^3-

A: Given,       y=3x3-5.12x2+3.4x-1.9

Q: se Newton-Raphson Method to find the approximate solution of the nonlinear equation f(x) giv en as…

A: To approximate the solution of the below equation using the Newton-Raphson Method. x3−x−1=0

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

A: Newton's method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations, where xn is the…

Q: sin y = cos x (2 cos y– sin²x)

A: Given siny dydx = cosx (2cosy - sin2x)siny dydx -2 cosy cosx = - cosx sin2x…

Q: 2. Solve for the value of x, y, and z using Gauss-Jordan Method. 6y(2 – 2x + 5z) = 6(x – 1) – 15z 3x…

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Q: xdx+sin y ४ (vdx-xdy}=0

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Q: 3. (x² - y²) dx + xy dy = 0

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Q: 1. y' + 2y = x²y³ .2.3

A: Given problem:- solve the given differential equation y' +2y=x2 y3

Q: Find a root of the system of non- linear equations x +y = 3; xy 1 by Newton's method starting with…

A: here we need to find the root of given equation using newton's method. the solution is following.

Q: d'y 1 2 dx 2 dx6 + 142- dx5 -471- d dx4

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Q: Find a particular solution to the differential equation using the Method of Undetermined…

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Q: Find the root of the cubic equation 4x3 + 3x2 – 8x – 2 = 0 in the domain [ 1 , 2 ] using numerical…

A: We have fx=4x3+3x2-8x-2 The initial interval is 1,2 The error tolerance is 1%=1100=0.01 So, we need…

Q: -3z y" + 6y' + 9y = for a> 0.

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Q: Solve each system of linear equations using Gaussian. You must show all notes and do it as we did in…

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